ORIGINAL_ARTICLE
Signature submanifolds for some equivalence problems
This article concerned on the study of signature submanifolds for curves under Lie group actions SE(2), SA(2) and for surfaces under SE(3). Signature submanifold is a regular submanifold which its coordinate components are differential invariants of an associated manifold under Lie group action, and therefore signature submanifold is a key for solving equivalence problems.
http://jlta.iauctb.ac.ir/article_510040_261d6b9f50a7b2d889b8d8449ea29062.pdf
2014-12-20T11:23:20
2018-08-19T11:23:20
121
130
Signature submanifold
equivalence problem
moving frame
differential invariant
M.
Nadjakhah
true
1
Iran University of Science and Technology, Tehran, Iran
Iran University of Science and Technology, Tehran, Iran
Iran University of Science and Technology, Tehran, Iran
LEAD_AUTHOR
Z.
Pahlevani Tehrani
true
2
Iran University of Science and Technology, Tehran, Iran
Iran University of Science and Technology, Tehran, Iran
Iran University of Science and Technology, Tehran, Iran
AUTHOR
[1] M. Fels and P. J. Olver, Moving coframes. II. Regularization and theoretical foundations, Acta Appl. Math.55 (1999), 127-208.
1
[2] P. J. Olver, Equivalence, invariant and symmetry, Cambridge University Press, Cambridge (1995).
2
[3] P. J. Olver, Applications of Lie groups to differential equations, Springer Verlag, Second Edition, GTM, Vol. 107, New York, (1993).
3
[4] P. J. Olver, Differential Invariant Algebra, Comtemp. Math. 549 (2011), 95-121.
4
[5] P. J. Olver, Lectures on Moving frames, London Math. Soc. Lecture Note Series, vol. 381 Cambridge University Press Cambridge, 2011, pp.207-246.
5
[6] E. L. Mansfeld, A Practical Guide to the Invariant Calculus, Cambridge University Press, Cambridge 2010.
6
ORIGINAL_ARTICLE
Tripled coincidence point under ϕ-contractions in ordered $G_b$-metric spaces
In this paper, tripled coincidence points of mappings satisfying $\psi$-contractive conditions in the framework of partially ordered $G_b$-metric spaces are obtained. Our results extend the results of Aydi et al. [H. Aydi, E. Karapinar and W. Shatanawi, Tripled fixed point results in generalized metric space, J. Applied Math., Volume 2012, Article ID 314279, 10 pages]. Moreover, some examples of the main result are given.
http://jlta.iauctb.ac.ir/article_510041_8c71453f3309c33b8d74810c975f2fd0.pdf
2014-12-20T11:23:20
2018-08-19T11:23:20
131
147
Tripled xed point
Generalized weakly contraction
Generalized metric spaces
Partially ordered set
R.
Jalal Shahkoohi
rog.jalal@gmail.com
true
1
Department of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, Iran
Department of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, Iran
Department of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, Iran
LEAD_AUTHOR
S. A.
Kazemipour
true
2
Department of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, Iran
Department of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, Iran
Department of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, Iran
AUTHOR
A.
Rajabi Eyvali
true
3
Department of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, Iran
Department of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, Iran
Department of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, Iran
AUTHOR
[1] M. Abbas, M. Ali Khan and S. Radenovic, Common coupled xed point theorems in cone metric spaces for w-compatible mappings, Applied Math. Comput., 217, (2010), 195-202.
1
[2] R.P. Agarwal, E. Karapinar, Remarks on some coupled xed point theorems in G-metric spaces. Fixed Point Theory Appl, 2013, 2013:2.
2
[3] A. Aghajani, M. Abbas and J.R. Roshan, Common xed point of generalized weak contractive mappings in partially ordered Gb-metric spaces, Accepted in Filomat, 2013.
3
[4] H. Aydi, E. Karapnar and W. Shatanawi, Tripled coincidence point results for generalized contractions in ordered generalized metric spaces, Fixed Point Theory Appl., 2012, 2012:101.
4
[5] H. Aydi, E. Karapnar and W. Shatanawi, Tripled xed point results in generalized metric space, J. Applied Math., Volume 2012, Article ID 314279, 10 pages, doi:10.1155/2012/314279.
5
[6] V. Berinde, Coupled fixed point theorems for contractive mixed monotone mappings in partially ordered metric spaces, Nonlinear Anal., 75, (2012), 3218-3228.
6
[7] V. Berinde and M. Borcut. Tripled xed point theorems for contractive type mappings in partially ordered metric spaces. Nonlinear Anal. 74 (2011), 4889-4897.
7
[8] M. Borcut, Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces. Appl. Math. Comput. 218 (2012), 7339-7346.
8
[9] M. Borcut and V. Berinde. Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces. Appl. Math. Comput. 218 (2012), 5929-5936.
9
[10] M. Boriceanu, Strict fixed point theorems for multivalued operators in b-metric spaces, Int. J Modern Math. 4 (2) (2009), 285-301.
10
[11] Y.J. Cho, B.E. Rhoades, R. Saadati, B. Samet and W. Shatanawi, Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type, Fixed Point Theory Appl., 2012, 2012:8.
11
[12] S. Czerwik, Nonlinear set-valued contraction mappings in b-metric spaces, Atti Sem. Mat. Univ. Modena, 46 (1998) 263-276.
12
[13] H. Huang, S. Xu, Fixed point theorems of contractive mappings in cone b-metric spaces and applications, Fixed Point Theory Appl, 2013:112.
13
[14] L.-G. Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, Journal of Mathematical Analysis and Applications, vol. 332, no. 2, pp. 1468-1476, 2007.
14
[15] N. Hussain, D. Doric, Z. Kadelburg and S. Radenovic, Suzuki-type fixed point results in metric type spaces, Fixed Point Theory Appl., (2012), doi:10.1186/1687-1812-2012-126.
15
[16] M. Jleli, B. Samet, Remarks on G-metric spaces and xed point theorems, Fixed Point Theory Appl. 2012, 2012:210.
16
[17] B.S. Choudhury, E. Karapinar and A. Kundu. Tripled coincidence point theorems for nonlinear contractions in partially ordered metric spaces. Int. Journal of Math. and Math. Sciences, to appear.
17
[18] M.A. Khamsi, Remarks on cone metric spaces and fixed point theorems of contractive mappings, Fixed Point Theory Appl. 2010, Article ID 315398, 7 pages.
18
[19] J. Matkowski, Fixed point theorems for mapping with a contractive iterate at a point, Proceedings of the American Mathematical Society, Vol. 62, No. 2, (1997) pp. 344-348.
19
[20] Z. Mustafa and B. Sims, A new approach to generalized metric spaces, J. Nonlinear Convex Anal., 7(2), (2006), 289-297.
20
[21] V. Parvaneh, J.R. Roshan and S. Radenovic, Existence of tripled coincidence point in ordered b-metric spaces and application to a system of integral equations, Fixed Point Theory Appl.
21
[22] H. Rahimi, G. Soleimani Rad, P. Kumam, Coupled common fixed point theorems under weak contractions in cone metric type spaces, Thai. J. of Math. 12 (1) (2014) 1-14.
22
[23] S.Radenovic, Z. Kadelburg, Quasi-contractions on symmetric and cone symmetric spaces. Banach J. Math. Anal. 5 (1) (2011) 38-50.
23
[24] S. Radenovic, Remarks on some recent coupled coincidence point results in symmetric G-metric spaces, Journal of Operators, Volume 2013, Article ID 290525, 8 pages.
24
[25] S. Radenovic, Remarks on some coupled coincidence point results in partially ordered metric spaces, Arab. J. Math. Sci., in press.
25
[26] S. Radenovic, S. Pantelic, P. Salimi and J. Vujakovic, A note on some tripled coincidence point results in G-metric spaces, International J. of Math. Sci. Engg. Appls., Vol. 6, No. VI, (2012), pp. 23-38.
26
[27] H. Rahimi, G.Soleimani Rad, Fixed point theory in various spaces, Lambert Academic Publishing, Germany, 2013.
27
[28] A. Rodlan, J. Martinez-Moreno, C. Rodlan, E. Karapinar, Some remarks on multidimensional fixed point theorems, Fixed Point Theory. 15 (2) (2014) 545-558.
28
[29] B. Rzepecki, On fixed point theorems of Maia type, Publications de lInstitut Mathematique, vol. 28 (42), 1980, pp. 179-186.
29
[30] B. Samet, E. Karapinar, H. Aydi, V.C. Rajic, Discussion on some coupled fixed point theorems, Fixed Point Theory Appl. 2013, 2013:50.
30
[31] G. Soleimani Rad, H. Aydi, P. Kumam, H. Rahimi, Common tripled fixed point results in cone metric type spaces, Rend. Circ. Mat. Palermo, 2014, DOI 10.1007/s12215-014-0158-6.
31
[32] G. Soleimani Rad, S. Shukla, H. Rahimi, Some relations between n-tuple fixed point and fixed point results, Revista de la Real Academia de Ciencias Exactas,Fisicas y Naturales. Serie A. Matematicas. (RACSAM), 2014, In press, DOI. 10.1007/s13398-014-0196-0.
32
[33] H. Rahimi, P. Vetro, G. Soleimani Rad, Some common fixed point results for weakly compatible mappings in cone metric type space, Miskolc Math. Notes. 14 (1) (2013) 233-243.
33
ORIGINAL_ARTICLE
Topological number for locally convex topological spaces with continuous semi-norms
In this paper we introduce the concept of topological number for locally convex topological spaces and prove some of its properties. It gives some criterions to study locally convex topological spaces in a discrete approach.
http://jlta.iauctb.ac.ir/article_510042_9013ab49a1395b3f12af88cc68a97c72.pdf
2014-12-29T11:23:20
2018-08-19T11:23:20
149
158
Locally convex space
Minkowski functional
Topological number
M.
Rahimi
m10.rahimi@gmail.com
true
1
I. A. U. Aligudarz Branch, Department of Mathematics, Aligudarz, Iran
I. A. U. Aligudarz Branch, Department of Mathematics, Aligudarz, Iran
I. A. U. Aligudarz Branch, Department of Mathematics, Aligudarz, Iran
LEAD_AUTHOR
S. M.
Vaezpour
true
2
Dept. of Math., Amirkabir University of Technology, Hafez Ave, Tehran, Iran
Dept. of Math., Amirkabir University of Technology, Hafez Ave, Tehran, Iran
Dept. of Math., Amirkabir University of Technology, Hafez Ave, Tehran, Iran
AUTHOR
[1] H. Brezis, Analysis Fonctionelle: Theorie et Applications, Dunod Dalloz Masson 34 Diffuseur, 2002.
1
[2] N. Bourbaki, Spaces Vectorials Topologiques, Paris, Hermann, 1967.
2
[3] J. B. Conway, A Course in Functional Analysis, Springer-Verlag, 1994.
3
[4] C. Lixing, Z. Yunchi and Z. Fong, Danes Drop theorem in locally convex spaces, Proc. Amer. Math. Soc, 124(12)(1996), 3699-3702.
4
[5] P. Robertson, W. Robertson, Topological vector spaces, Cambridge University, 1966.
5
[6] H. Shaferr, Topological vector spaces, New York:Springer-Verlag, 1971.
6
[7] R. Tyrrell and R. Fellar, Convex Analysis, Princeton University Press, 1970.
7
[8] E. Zeidler, Applied functional analysis, Main principles and their application, Contents of AMS, Volume 109, Springer Verlag, 1995.
8
ORIGINAL_ARTICLE
Solution of the first order fuzzy differential equations with generalized differentiability
In this paper, we study first order linear fuzzy differential equations with fuzzy coefficient and initial value. We use the generalized differentiability concept and apply the exponent matrix to present the general form of their solutions. Finally, one example is given to illustrate our results.
http://jlta.iauctb.ac.ir/article_510043_0a0563d2d7e7f03919c9e34c728d11f0.pdf
2014-12-29T11:23:20
2018-08-19T11:23:20
159
171
First order fuzzy differential equations
Generalized differentiability
Fuzzy linear differential equations
Exponent matrix
L.
Jamshidi
true
1
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
AUTHOR
T.
Allahviranloo
allahviranloo@yahoo.com
true
2
Department of Mathematics, Tehran Science and Research Branch, Islamic Azad University, Tehran , Iran
Department of Mathematics, Tehran Science and Research Branch, Islamic Azad University, Tehran , Iran
Department of Mathematics, Tehran Science and Research Branch, Islamic Azad University, Tehran , Iran
LEAD_AUTHOR
[1] T. Allahviranloo, A method for solving nth order fuzzy linear differential equations, International Journal of Computer Mathematics 89 (4) (2009), pp. 730-742.
1
[2] B. Bede, I.J. Rudas, and A.L. Bencsik, First order linear fuzzy dierential equations under generalized differentiability, Information Science 177 (2007), pp. 1648-1662.
2
[3] B. Bede and S.G. Gal, Generalizations of the differentiability of fuzzy number value functions with applications to fuzzy differential equations, Fuzzy Sets and Systems 151 (2005), pp. 581-599.
3
[4] B. Bede and S.G. Gal, Almost periodic fuzzy-number-valued functions, Fuzzy Sets and Systems 147 (2004), pp. 385-403.
4
[5] Y. Chalco-Cano and H. Romn-Flores, On new solutions of fuzzy differential equations, Chaos, Solitons and Fractals 38 (2008) , pp.112-119.
5
[6] P. Diamond and P. Kloeden, Metric Spaces of Fuzzy Sets, World Scientic, Singapore, 1994.
6
[7] D. Dubois and H. Prade, Towards fuzzy differential calculus: Part 3, dierentiation, Fuzzy Sets and Systems 8 (1982), pp. 225-233.
7
[8] R. Goetschel and W. Voxman, Elementary fuzzy calculus, Fuzzy Sets and Systems, 18 (1986), pp. 31-43.
8
[9] S. G. Gal, Approximation theory in fuzzy setting, in: G.A. Anastassiou (Ed.), Handbook of Analytic-Computational Methods in Applied Mathematics, Chapman Hall CRC Press, 2000, pp. 617-666.
9
[10] O. He and W. Yi, On fuzzy differential equations, Fuzzy Sets and Systems 24 (1989), pp. 321-325.
10
[11] O.Kaleva, fuzzy differential equations, Fuzzy Sets and Systems 24 (1987), pp. 301-317.
11
[12] O.Kaleva, The Cauchy problem for fuzzy differential equations, Fuzzy Sets and Systems 35(1990), pp. 389-396.
12
[13] A. Khastan, J.J. Nieto and R. R. Lopez, Variation of constant formula for rst order fuzzy differential equations, Fuzzy Sets and Systems.
13
[14] A. Khastan, F. Bahrami and K. Ivaz, New results on multiple solutions for Nth-order fuzzy differential equations under generalized differentiability, Boundary Value Problems (2009) 13p, Article ID 395714.
14
[15] P.Kloeden, Remark on peano-like theorems for fuzzy differential equations, Fuzzy Sets and Systems 44 (1991),pp. 161-164.
15
[16] W. Menda, Linear fuzzy differential equation system on, Journal of Fuzzy Systems Mathematics 2 (1) (1988), pp. 51-56,in Chinese.
16
[17] M. Puri, D. Ralescu, Differentials of fuzzy functions, Journal of Mathematical Analysis and Applications 91 (1983) 552-558.
17
[18] S. Seikkala, On the fuzzy initial value problem, Fuzzy Sets and Systems 24 (1987), pp. 319-330.
18
[19] C. Wu and Z. Gong, On Henstock integral of fuzzy-number-valued functions I, Fuzzy Sets and Systems, 120 (2001), pp. 523-532.
19
[20] L. Zadeh, Toward a generalized theory of uncertainty (GTU)-an outline, Information Sciences 172 (2005), pp. 1-40.
20
ORIGINAL_ARTICLE
Higher rank numerical ranges of rectangular matrix polynomials
In this paper, the notion of rank-k numerical range of rectangular complex matrix polynomials are introduced. Some algebraic and geometrical properties are investigated. Moreover, for ϵ > 0; the notion of Birkhoff-James approximate orthogonality sets for ϵ-higher rank numerical ranges of rectangular matrix polynomials is also introduced and studied. The proposed denitions yield a natural generalization of the standard higher rank numerical ranges.
http://jlta.iauctb.ac.ir/article_510044_632f0d1e9a5977e1bd3595b67de5b207.pdf
2014-12-30T11:23:20
2018-08-19T11:23:20
173
184
Rank-k numerical range
isometry
numerical range
rectangular matrix polynomials
Gh.
Aghamollaei
aghamollaei@uk.ac.ir
true
1
Department of Mathematics, Shahid Bahonar University of Kerman, 76169-14111, Kerman, Iran
Department of Mathematics, Shahid Bahonar University of Kerman, 76169-14111, Kerman, Iran
Department of Mathematics, Shahid Bahonar University of Kerman, 76169-14111, Kerman, Iran
LEAD_AUTHOR
M.
Zahraei
true
2
Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
AUTHOR
[1] A. Aretaki and J. Maroulas, On the rankk numerical range of matrix polynomials, Electronic J. Linear Algebra, 27 (2014), 809-820.
1
[2] F.F. Bonsall and J. Duncan, Numerical Ranges of Operators on Normed Spaces and Elements of Normed Algebras, Cambridge University Press, New York, 1971.
2
[3] M.D. Choi, Completely positive linear maps on complex matrices, Linear Algebra Appl. 10 (1975), 285-290.
3
[4] M.D. Choi, M. Giesinger, J.A. Holbrook and D.W. Kribs, Geometry of higher rank numerical ranges, Linear Multilinear Algebra, 56 (2008), 53-64.
4
[5] C. Chorianopoulos, S. Karanasios and P. Psarrakos, A denition of numerical range of rectangular matrices, Linear Multilinear Algebra, 51 (2009), 459-475.
5
[6] C. Chorianopoulos and P. Psarrakos, Birkhoff-James approximate orthogonality sets and numerical ranges, Linear Algebra Appl. 434 (2011), 2089-2108.
6
[7] S. Clark, C.K. Li and N.S. Sze, Multiplicative maps preserving the higher rank numerical ranges and radii, Linear Algebra Appl. 432 (2010), 2729-2738.
7
[8] I. Gohberg, P. Lancaster and L. Rodman, Matrix Polynomials, Academic Press, New York, 1982.
8
[9] K.E. Gustafson and D.K.M. Rao, Numerical Range: The Field of Values of Linear Operators and Matrices, Springer-Verlage, New York, 1997.
9
[10] R. Horn and C. Johnson, Topics in Matrix Analysis, Cambridg University Press, New York, 1991.
10
[11] D.W . Kribs, R. Laflamme, D. Poulin and M. Lesosky, Operator quantum error correction, Quant. Inf. Comput. 6 (2006), 383-399.
11
[12] P. Lancaster and M. Tismenetsky, The Theory of Matrices, Academic Press, Orland, 1985.
12
[13] C.K. Li and L. Rodman, Numerical range of matrix polynomials, SIAM J. Matrix Anal. Appl. 15 (1994), 1256-1265.
13
[14] J.G. Stampi and J.P. Williams, Growth conditions and the numerical range in a Banach algebra, T. Math. J. 20 (1968), 417-424.
14
[15] M. Zahraei and Gh. Aghamollaei, Higher rank numerical ranges of rectangular matrices, Ann. Func. Anal. 6(2015), 133-142.
15
ORIGINAL_ARTICLE
Module amenability and module biprojectivity of θ-Lau product of Banach algebras
In this paper we study the relation between module amenability of $\theta$-Lau product $A×_\theta B$ and that of Banach algebras $A, B$. We also discuss module biprojectivity of $A×\theta B$. As a consequent we will see that for an inverse semigroup $S$, $l^1(S)×_\theta l^1(S)$ is module amenable if and only if $S$ is amenable.
http://jlta.iauctb.ac.ir/article_516390_ee89500a6e1521d7040b915580bf0641.pdf
2014-12-30T11:23:20
2018-08-19T11:23:20
185
196
Module amenability
module biprojectivity
θ-Lau product of Banach algebras
inverse semigroup
D.
Ebrahimi Bagha
true
1
Department of Mathematics, Islamic Azad university, Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad university, Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad university, Central Tehran Branch, Tehran, Iran
AUTHOR
H.
Azaraien
true
2
Department of Mathematics, Islamic Azad university,
Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad university,
Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad university,
Central Tehran Branch, Tehran, Iran
AUTHOR
[1] M. Amini, Module amenability for semigroup algebras, Semigroup Forum 69 (2004), 243-254.
1
[2] A. Bodaghi and M. Amini, Module biprojective and module biflat Banach algebras, U. P. B. Sci. Bull. Series A, Vol. 75, Iss.3, (2013)
2
[3] H. G. Dales, Banach algebras and Automatic continuty, London Mathematical Society Monographs new series, 24 Oxford university Press, Oxford, (2000).
3
[4] H. R. Ebrahimi Vishki and A. R. Khodami, Character inner amenability of certain Banach algebras, Colloq. Math. 122 (2011), 225-232.
4
[5] B. E. Johson, cohomology in Banach algebras, Memoirs Amer. Math. Soc. 127 (1972).
5
[6] A. T. M. Lau, Analysis on a class of Banach algebras with applications to harmonic analysis on locally compact groups and semigroups, Fund. Math. 118 (1983), 161-175.
6
[7] M. Sangani-Monfared, On certain products of Banach algebras with applications to harmonic analysis, Studia Math. 178 (3) (2007), 277-294.
7