Journal of Linear and Topological Algebra (JLTA)Journal of Linear and Topological Algebra (JLTA)
http://jlta.iauctb.ac.ir/
Mon, 19 Feb 2018 08:35:02 +0100FeedCreatorJournal of Linear and Topological Algebra (JLTA)
http://jlta.iauctb.ac.ir/
Feed provided by Journal of Linear and Topological Algebra (JLTA). Click to visit.On some open problems in cone metric space over Banach algebra
http://jlta.iauctb.ac.ir/article_536118_113858.html
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].Thu, 30 Nov 2017 20:30:00 +0100A fixed point method for proving the stability of ring $(\alpha, \beta, \gamma)$-derivations in ...
http://jlta.iauctb.ac.ir/article_536116_113858.html
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.Thu, 30 Nov 2017 20:30:00 +0100A solution of nonlinear fractional random differential equation via random ﬁxed point technique
http://jlta.iauctb.ac.ir/article_536117_113858.html
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.Thu, 30 Nov 2017 20:30:00 +0100Sum (2,M)-double fuzzifying continuity and characterizations of (2,M)-double fuzzifying topology
http://jlta.iauctb.ac.ir/article_536119_0.html
(2,M)-double fuzzifying topology is a generalization of (2,M)-fuzzifying topology and classical topology. Motivated by the study of (2,M)-fuzzifying topology introduced by Hohle in [1] for fuzzifying topology. The main motivation behind this paper is introduce (2,M)-double fuzzifying topology as tight definition and a generalization of (2,M)-fuzzifying topology. Also, study structural properties of (2,M)-double fuzzifying continuous mapping, (2,M)-double fuzzifying quotient mapping, (2,M)-double fuzzifying operator, (2,M)-double fuzzifying totally continuous mapping and define an (2,M)-double fuzzifying Interior (closure) operator. The respective examples of these notions are investigated and the related properties are discussed. On the other hand, a cheracterization of (2,M)-fuzzifying topology by (2,M)-fuzzifying neighborhood system, where M is a completely distributive, was given in Hohle [2]. We extended this defination and others to (2,M)-double fuzzifying topology. As an application of our results, we get characterizations of a (2,M)-double fuzzifying topology by these new notions. These characterizations do not exist in literature before this work. These concepts will help in verifying the existing characterizations and will be useful in achieving new and generalized results in future works.Mon, 11 Dec 2017 20:30:00 +0100Common best proximity points for $(\psi-\phi)$-generalized weak proximal contraction type mappings
http://jlta.iauctb.ac.ir/article_536813_113858.html
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.Sun, 24 Dec 2017 20:30:00 +0100Applications of fuzzy $e$-open sets
http://jlta.iauctb.ac.ir/article_536120_0.html
The aim of this paper is to introduce and study the notions of fuzzy upper $e$-limit set, fuzzy lower $e$-limit set and fuzzy $e$-continuously convergent functions. Properties and basic relationships among fuzzy upper $e$-limit set, fuzzy lower $e$-limit set and fuzzy $e$-continuity are investigated via fuzzy $e$-open sets.Mon, 11 Dec 2017 20:30:00 +0100Coincidence points and common fixed points for hybrid pair of mappings in b-metric spaces ...
http://jlta.iauctb.ac.ir/article_536814_113858.html
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.Sun, 24 Dec 2017 20:30:00 +0100Corrigendum to "On $(\sigma, \tau)$-module extension Banach algebras"
http://jlta.iauctb.ac.ir/article_536805_0.html
In this corrigendum we give a correction of one result in reference [1].Sun, 24 Dec 2017 20:30:00 +0100On characterizations of weakly $e$-irresolute functions
http://jlta.iauctb.ac.ir/article_536903_0.html
The aim of this paper is to introduce and obtain some characterizations of weakly $e$-irresolute functions by means of $e$-open sets defined by Ekici [6]. Also, we look into further properties relationships between weak $e$-irresoluteness and separation axioms and completely $e$-closed graphs.Thu, 28 Dec 2017 20:30:00 +0100Symbolic computation of the Duggal transform
http://jlta.iauctb.ac.ir/article_537429_0.html
Following the results of cite{Med}, regarding the Aluthge transform of polynomial matrices, the symbolic computation of the Duggal transform of a polynomial matrix $A$ is developed in this paper, using the polar decomposition and the singular value decomposition of $A$. Thereat, the polynomial singular value decomposition method is utilized, which is an iterative algorithm with numerical characteristics. The introduced algorithm is proven and illustrated in numerical examples. We also represent symbolically the Duggal transform of rank-one matrices using cross products of vectors and show that the Duggal transform of such matrices can be given explicitly by a closed formula and is equal to its Aluthge transform.Wed, 10 Jan 2018 20:30:00 +0100Fixed points of weak $\psi$-quasi contractions in generalized metric spaces
http://jlta.iauctb.ac.ir/article_537759_113858.html
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.Thu, 04 Jan 2018 20:30:00 +0100