2018-12-14T21:40:49Z
http://jlta.iauctb.ac.ir/?_action=export&rf=summon&issue=114885
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2017
06
04
On some open problems in cone metric space over Banach algebra
A.
Ahmed
Z. D.
Mitrovic
J. N.
Salunke
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
2017
12
01
261
267
http://jlta.iauctb.ac.ir/article_536118_fb4cb5258f2239d175a2738adf45e36f.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2017
06
04
A fixed point method for proving the stability of ring $(alpha, beta, gamma)$-derivations in $2$-Banach algebras
M.
Eshaghi Gordji
S.
Abbaszadeh
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
2017
12
01
269
276
http://jlta.iauctb.ac.ir/article_536116_a2fa96c0595bab5c5faf576f3e547c7f.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2017
06
04
A solution of nonlinear fractional random differential equation via random ﬁxed point technique
R. A.
Rashwan
H. A.
Hammad
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
2017
12
01
277
287
http://jlta.iauctb.ac.ir/article_536117_32277bf22266c36e920243012bcbba9a.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2017
06
04
Common best proximity points for $(psi-phi)$-generalized weak proximal contraction type mappings
K. K. M.
Sarma
G.
Yohannes
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
2017
12
01
289
300
http://jlta.iauctb.ac.ir/article_536813_653e4442ecbacac4ce633827f7ee61f5.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2017
06
04
Coincidence points and common fixed points for hybrid pair of mappings in b-metric spaces endowed with a graph
S. K.
Mohanta
S.
Patra
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
2017
12
01
301
321
http://jlta.iauctb.ac.ir/article_536814_ff3f0b6e868b991637ce324bf9e5d15f.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear. Topological. Algebra.
2252-0201
2252-0201
2017
06
04
Fixed points of weak $psi$-quasi contractions in generalized metric spaces
K. P. R.
Sastry
G. V. R.
Babu
P. S.
Kumar
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
2017
12
01
323
329
http://jlta.iauctb.ac.ir/article_537759_95df6849b60c60f26dbd2462fbe1c516.pdf