eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-12-01
06
04
261
267
536118
On some open problems in cone metric space over Banach algebra
A. Ahmed
azizahmed02@gmail.com
1
Z. D. Mitrovic
zoran.mitrovic@etf.unibl.org
2
J. N. Salunke
drjnsalunke@gmail.com
3
Department of Humanities and Basics Sciences, School of Engineering, Matoshri Pratishthan Group of Institutions, Nanded, India
University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
School of Mathematical Sciences, Swami Ramanandh Teerth Marathwada University, Nanded, India
In this paper we prove an analogue of Banach and Kannan fixed point theorems by generalizing the Lipschitz constat $k$, in generalized Lipschitz mapping on cone metric space over Banach algebra, which are answers for the open problems proposed by Sastry et al, [K. P. R. Sastry, G. A. Naidu, T. Bakeshie, Fixed point theorems in cone metric spaces with Banach algebra cones, Int. J. of Math. Sci. and Engg. Appl. (6) (2012), 129-136].
http://jlta.iauctb.ac.ir/article_536118_fb4cb5258f2239d175a2738adf45e36f.pdf
Cone metric space over Banach algebra
fixed points
Lipschitz mapping
c-sequence
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-12-01
06
04
269
276
536116
A fixed point method for proving the stability of ring $(alpha, beta, gamma)$-derivations in $2$-Banach algebras
M. Eshaghi Gordji
madjid.eshaghi@gmail.com
1
S. Abbaszadeh
abbaszadeh@pnu.ac.ir
2
Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
Department of Mathematics, Payame Noor University, P.O. BOX 19395-4697, Tehran, Iran
In this paper, we first present the new concept of $2$-normed algebra. We investigate the structure of this algebra and give some examples. Then we apply a fixed point theorem to prove the stability and hyperstability of $(alpha, beta, gamma)$-derivations in $2$-Banach algebras.
http://jlta.iauctb.ac.ir/article_536116_a2fa96c0595bab5c5faf576f3e547c7f.pdf
Fixed point theorem
$2$-normed algebras
$(alpha, beta, gamma)$-derivations
hyperstability
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-12-01
06
04
277
287
536117
A solution of nonlinear fractional random differential equation via random ﬁxed point technique
R. A. Rashwan
rashwan54@yahoo.com
1
H. A. Hammad
h_elmagd89@yahoo.com
2
Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt
Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
In this paper, we investigate a new type of random $F$-contraction and obtain a common random fixed point theorem for a pair of self stochastic mappings in a separable Banach space. The existence of a unique solution for nonlinear fractional random differential equation is proved under suitable conditions.
http://jlta.iauctb.ac.ir/article_536117_32277bf22266c36e920243012bcbba9a.pdf
Random ﬁxed point
F-contraction
separable metric spaces
NFRDE
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-12-25
06
04
289
300
536813
Common best proximity points for $(psi-phi)$-generalized weak proximal contraction type mappings
K. K. M. Sarma
sarmakmkandala@yahoo.in
1
G. Yohannes
yohannesgebru2005@gmail.com
2
Department of Mathematics, Andhra University, India
Department of Mathematics, Wolkite University, Ethiopia
In this paper, we introduce a pair of generalized proximal contraction mappings and prove the existence of a unique best proximity point for such mappings in a complete metric space. We provide examples to illustrate our result. Our result extends some of the results in the literature.
http://jlta.iauctb.ac.ir/article_536813_653e4442ecbacac4ce633827f7ee61f5.pdf
Best Proximity Point
common best proximity points
(ψ − ϕ)-generalized proximal contraction
lower semi continuous functions
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2017-12-25
06
04
301
321
536814
Coincidence points and common fixed points for hybrid pair of mappings in b-metric spaces endowed with a graph
S. K. Mohanta
smwbes@yahoo.in
1
S. Patra
shilpapatrabarasat@gmail.com
2
Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, India
Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, India
In this paper, we introduce the notion of strictly (α,ψ,ξ)-G-contractive mappings in b-metric spaces endowed with a graph G. We establish a sufficient condition for existence and uniqueness of points of coincidence and common fixed points for such mappings. Our results extend and unify many existing results in the literature. Finally, we construct some examples to analyze and support our results.
http://jlta.iauctb.ac.ir/article_536814_ff3f0b6e868b991637ce324bf9e5d15f.pdf
b-metric
digraph
weakly compatible mappings
common fixed point
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2018-01-05
06
04
323
329
537759
Fixed points of weak $psi$-quasi contractions in generalized metric spaces
K. P. R. Sastry
kprsastry@hotmail.com
1
G. V. R. Babu
gvr_babu@hotmail.com
2
P. S. Kumar
sudheer232.maths@hotmail.com
3
8-28-8/1, Tamil Street, China Waltair, Visakhapatnam-530 017, India
Department of Mathematics, Andhra University, Visakhapatnam-530 003, India
Department of Mathematics, Andhra University, Visakhapatnam-530 003, India
In this paper, we introduce the notion of weak $psi$-quasi contraction in generalized metric spaces and using this notion we obtain conditions for the existence of fixed points of a self map in $D$-complete generalized metric spaces. We deduce some corollaries from our result and provide examples in support of our main result.
http://jlta.iauctb.ac.ir/article_537759_95df6849b60c60f26dbd2462fbe1c516.pdf
Generalized metric space
weak $psi$-quasi contraction
fixed point