Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
06
04
2017
12
01
On some open problems in cone metric space over Banach algebra
261
267
EN
A.
Ahmed
0000-0001-7313-5991
Department of Humanities and Basics Sciences, School of Engineering, Matoshri Pratishthan Group of Institutions, Nanded, India
azizahmed02@gmail.com
Z. D.
Mitrovic
University of Banja Luka, Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
zoran.mitrovic@etf.unibl.org
J. N.
Salunke
School of Mathematical Sciences, Swami Ramanandh Teerth Marathwada University, Nanded, India
drjnsalunke@gmail.com
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].
Cone metric space over Banach algebra,fixed points,Lipschitz mapping,c-sequence
http://jlta.iauctb.ac.ir/article_536118.html
http://jlta.iauctb.ac.ir/article_536118_fb4cb5258f2239d175a2738adf45e36f.pdf
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
06
04
2017
12
01
A fixed point method for proving the stability of ring $(alpha, beta, gamma)$-derivations in $2$-Banach algebras
269
276
EN
M.
Eshaghi Gordji
Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
madjid.eshaghi@gmail.com
S.
Abbaszadeh
0000-0002-8257-0116
Department of Mathematics, Payame Noor University, P.O. BOX 19395-4697, Tehran, Iran
abbaszadeh@pnu.ac.ir
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.
Fixed point theorem,$2$-normed algebras,$(\alpha, \beta, \gamma)$-derivations,hyperstability
http://jlta.iauctb.ac.ir/article_536116.html
http://jlta.iauctb.ac.ir/article_536116_a2fa96c0595bab5c5faf576f3e547c7f.pdf
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
06
04
2017
12
01
A solution of nonlinear fractional random differential equation via random ﬁxed point technique
277
287
EN
R. A.
Rashwan
Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt
rashwan54@yahoo.com
H. A.
Hammad
Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
h_elmagd89@yahoo.com
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.
Random ﬁxed point,F-contraction,separable metric spaces,NFRDE
http://jlta.iauctb.ac.ir/article_536117.html
http://jlta.iauctb.ac.ir/article_536117_32277bf22266c36e920243012bcbba9a.pdf
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
06
04
2017
12
01
Common best proximity points for $(psi-phi)$-generalized weak proximal contraction type mappings
289
300
EN
K. K. M.
Sarma
Department of Mathematics, Andhra University, India
sarmakmkandala@yahoo.in
G.
Yohannes
Department of Mathematics, Wolkite University, Ethiopia
yohannesgebru2005@gmail.com
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.
Best Proximity Point,common best proximity points,(ψ − ϕ)-generalized proximal contraction,lower semi continuous functions
http://jlta.iauctb.ac.ir/article_536813.html
http://jlta.iauctb.ac.ir/article_536813_653e4442ecbacac4ce633827f7ee61f5.pdf
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
06
04
2017
12
01
Coincidence points and common fixed points for hybrid pair of mappings in b-metric spaces endowed with a graph
301
321
EN
S. K.
Mohanta
Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, India
smwbes@yahoo.in
S.
Patra
Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), Kolkata-700126, West Bengal, India
shilpapatrabarasat@gmail.com
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.
b-metric,digraph,weakly compatible mappings,common fixed point
http://jlta.iauctb.ac.ir/article_536814.html
http://jlta.iauctb.ac.ir/article_536814_ff3f0b6e868b991637ce324bf9e5d15f.pdf
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
06
04
2017
12
01
Fixed points of weak $psi$-quasi contractions in generalized metric spaces
323
329
EN
K. P. R.
Sastry
8-28-8/1, Tamil Street, China Waltair, Visakhapatnam-530 017, India
kprsastry@hotmail.com
G. V. R.
Babu
Department of Mathematics, Andhra University, Visakhapatnam-530 003, India
gvr_babu@hotmail.com
P. S.
Kumar
Department of Mathematics, Andhra University, Visakhapatnam-530 003, India
sudheer232.maths@hotmail.com
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.
Generalized metric space,weak $psi$-quasi contraction,fixed point
http://jlta.iauctb.ac.ir/article_537759.html
http://jlta.iauctb.ac.ir/article_537759_95df6849b60c60f26dbd2462fbe1c516.pdf