@Article{Ahmed2017,
author="Ahmed, A.
and Mitrovic, Z. D.
and Salunke, J. N.",
title="On some open problems in cone metric space over Banach algebra",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2017",
volume="06",
number="04",
pages="261-267",
abstract="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].",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_536118.html"
}
@Article{EshaghiGordji2017,
author="Eshaghi Gordji, M.
and Abbaszadeh, S.",
title="A fixed point method for proving the stability of ring $(\alpha, \beta, \gamma)$-derivations in $2$-Banach algebras",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2017",
volume="06",
number="04",
pages="269-276",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_536116.html"
}
@Article{Rashwan2017,
author="Rashwan, R. A.
and Hammad, H. A.",
title="A solution of nonlinear fractional random differential equation via random ﬁxed point technique",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2017",
volume="06",
number="04",
pages="277-287",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_536117.html"
}
@Article{Sarma2017,
author="Sarma, K. K. M.
and Yohannes, G.",
title="Common best proximity points for $(\psi-\phi)$-generalized weak proximal contraction type mappings",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2017",
volume="06",
number="04",
pages="289-300",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_536813.html"
}
@Article{Mohanta2017,
author="Mohanta, S. K.
and Patra, S.",
title="Coincidence points and common fixed points for hybrid pair of mappings in b-metric spaces endowed with a graph",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2017",
volume="06",
number="04",
pages="301-321",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_536814.html"
}
@Article{Sastry2017,
author="Sastry, K. P. R.
and Babu, G. V. R.
and Kumar, P. S.",
title="Fixed points of weak $\psi$-quasi contractions in generalized metric spaces",
journal="Journal of Linear and Topological Algebra (JLTA)",
year="2017",
volume="06",
number="04",
pages="323-329",
abstract="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.",
issn="2252-0201",
doi="",
url="http://jlta.iauctb.ac.ir/article_537759.html"
}