Journal of Linear and Topological Algebra (JLTA)Journal of Linear and Topological Algebra (JLTA)
http://jlta.iauctb.ac.ir/
Sat, 20 Oct 2018 02:47:59 +0100FeedCreatorJournal of Linear and Topological Algebra (JLTA)
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Feed provided by Journal of Linear and Topological Algebra (JLTA). Click to visit.Existence of best proximity and fixed points in $G_p$-metric spaces
http://jlta.iauctb.ac.ir/article_542478_115391.html
In this paper, we establish some best proximity point theorems using new proximal contractive mappings in asymmetric $G_{p}$-metric spaces. Our motive is to find an optimal approximate solution of a fixed point equation. We provide best proximity points for cyclic contractive mappings in $G_{p}$-metric spaces. As consequences of these results, we deduce fixed point results in $G_{p}$-metric spaces. We also provide examples to analyze and support our results.Fri, 31 Aug 2018 19:30:00 +0100A new type of Hyers-Ulam-Rassias stability for Drygas functional equation
http://jlta.iauctb.ac.ir/article_542801_0.html
In this paper, we prove the generalized Hyers-Ulam-Rassias stability for the Drygas functional equation$$f(x+y)+f(x-y)=2f(x)+f(y)+f(-y)$$ in Banach spaces by using the Brzc{d}ek's fixed point theorem. Moreover, we give a general result on the hyperstability of this equation. Our results are improvements and generalizations of the main result of M. Piszczek and J. Szczawi'{n}ska [21].Tue, 04 Sep 2018 19:30:00 +0100Some local fixed point results under $C$-class functions with applications to coupled elliptic ...
http://jlta.iauctb.ac.ir/article_542479_115391.html
The main objective of the paper is to state newly fixed point theorems for set-valued mappings in the framework of 0-complete partial metric spaces which speak about a location of a fixed point with respect to an initial value of the set-valued mapping by using some $C$-class functions. The results proved herein generalize, modify and unify some recent results of the existing literature. As an application, we provide an existence theorem for a coupled elliptic system subject to various two-point boundary conditions.Fri, 31 Aug 2018 19:30:00 +0100Linear \v{C}ech Closure Spaces
http://jlta.iauctb.ac.ir/article_542813_0.html
In this paper, we introduce the concept of linear v{C}ech closure spaces and establish the properties of open sets in linear v{C}ech closure spaces (Lv{C}CS). Here, we observe that the concept of linearity is preserved by semi-open sets, g-semi open sets, $gamma$-open sets, sgc-dense sets and compact sets in Lv{C}CS. We also discuss the concept of relative v{C}ech closure operator, meet and product linear v{C}ech closure operators. Lastly, we describe the Moore class on the Lv{C}CS and prove that it is a vector lattice with sufficient properties.Wed, 05 Sep 2018 19:30:00 +0100Fixed point theorem for mappings satisfying contractive condition of integral type on ...
http://jlta.iauctb.ac.ir/article_542480_115391.html
In this paper, we shall establish some fixed point theorems for mappings with the contractive condition of integrable type on complete intuitionistic fuzzy metric spaces $(X, M,N,*,lozenge)$. We also use Lebesgue-integrable mapping to obtain new results. Akram, Zafar, and Siddiqui introduced the notion of $A$-contraction mapping on metric space. In this paper by using the main idea of the work, we introduce the concept of $A$-fuzzy contractive mappings. Finally, we support our results by some examples.Fri, 31 Aug 2018 19:30:00 +0100A note on spectral mapping theorem
http://jlta.iauctb.ac.ir/article_542814_0.html
This paper aims to present the well-known spectral mapping theorem for multi-variable functions.Wed, 05 Sep 2018 19:30:00 +0100Common fixed points for a pair of mappings in $b$-Metric spaces via digraphs and altering ...
http://jlta.iauctb.ac.ir/article_542481_115391.html
In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings satisfying some generalized contractive type conditions in $b$-metric spaces endowed with graphs and altering distance functions. Finally, some examples are provided to justify the validity of our results.Fri, 31 Aug 2018 19:30:00 +0100Some fixed point results for contractive type mappings in b-metric spaces
http://jlta.iauctb.ac.ir/article_542800_115391.html
In this work, we prove some fixed point theorems by using $wt$-distance on b-metric spaces. Our results generalize some fixed point theorems in the literature. Moreover, we introduce $wt_0$-distance and by using the concept of $wt_0$-distance, we obtain some coupled fixed point results in complete b-metric spaces.Sat, 08 Sep 2018 19:30:00 +0100Suzuki-Berinde type fixed-point and fixed-circle results on $S$-metric spaces
http://jlta.iauctb.ac.ir/article_543020_115391.html
In this paper, the notions of a Suzuki-Berinde type $F_{S}$-contraction and a Suzuki-Berinde type $F_{C}^{S}$-contraction are introduced on a $S$-metric space. Using these new notions, a fixed-point theorem is proved on a complete $S$-metric space and a fixed-circle theorem is established on a $S$-metric space. Some examples are given to support the obtained results.Fri, 31 Aug 2018 19:30:00 +0100$ b-(\varphi, \Gamma)-$graphic contraction on metric space endowed with a graph
http://jlta.iauctb.ac.ir/article_543269_115391.html
In this paper, we introduce the $ b-(varphi, Gamma)-$graphic contraction on metric space endowed with a graph so that $(M,delta)$ is a metric space, and $V(Gamma)$ is the vertices of $Gamma$ coincides with $M$. We aim to obtain some new fixed-point results for such contractions. We give an example to show that our results generalize some known results.Fri, 31 Aug 2018 19:30:00 +0100