Journal of Linear and Topological Algebra ( JLTA )Journal of Linear and Topological Algebra ( JLTA )
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Feed provided by Journal of Linear and Topological Algebra ( JLTA ). Click to visit.Approximate solutions of homomorphisms and derivations of the generalized Cauchy-Jensen ...
http://jlta.iauctb.ac.ir/article_669537_1133993.html
In this paper, we prove Hyers-Ulam-Rassias stability of $C^*$-ternary algebra homomorphism for the following generalized Cauchy-Jensen equation $$eta mu fleft(frac{x+y}{eta}+zright) = f(mu x) + f(mu y) +eta f(mu z)$$ for all $mu in mathbb{S}:= { lambda in mathbb{C} : |lambda | =1}$ and for any fixed positive integer $eta geq 2$ on $C^*$-ternary algebras by using fixed poind alternative theorem. Moreover, we investigate Hyers-Ulam-Rassias stability of generalized $C^*$-ternary derivation for such function on $C^*$-algebras by the same method.Sat, 29 Feb 2020 20:30:00 +0100Fixed points of generalized $\alpha$-Meir-Keeler type contractions and Meir-Keeler contractions ...
http://jlta.iauctb.ac.ir/article_671935_1133993.html
In this paper, we first introduce some types of generalized $alpha$-Meir-Keeler contractions in $b$-metric-like spaces and then we establish some fixed point results for these types of contractions. Also, we present a new fixed point theorem for a Meir-Keeler contraction through rational expression. Finally, we give some examples to illustrate the usability of the obtained results.Sat, 29 Feb 2020 20:30:00 +01002-Banach stability results for the radical cubic functional equation related to quadratic mapping
http://jlta.iauctb.ac.ir/article_671936_1133993.html
The aim of this paper is to introduce and solve the generalized radical cubic functional equation related to quadratic functional equation$$fleft(sqrt[3]{ax^{3}+by^{3}}right)+fleft(sqrt[3]{ax^{3}-by^{3}}right)=2a^{2}f(x)+2b^{2}f(y),;; x,yinmathbb{R},$$for a mapping $f$ from $mathbb{R}$ into a vector space. We also investigate some stability and hyperstability results for the considered equation in 2-Banach spaces by using an analogue theorem of Brzdc{e}k in [17].Sat, 29 Feb 2020 20:30:00 +0100Fixed point results for Su-type contractive mappings with an application
http://jlta.iauctb.ac.ir/article_671964_1133993.html
‎In this paper‎, ‎we introduce the concept of Su-type contractive mapping and establish fixed point theorems for such mappings in the setting of ordered‎ ‎extended partial $b$-metric space‎. ‎We also develop an‎ ‎application for Fredholm type integral equations to‎ ‎validate our main result and a non-trivial example is given to‎ ‎elucidate our work.Sat, 29 Feb 2020 20:30:00 +0100On the topological equivalence of some generalized metric spaces
http://jlta.iauctb.ac.ir/article_671967_1133993.html
‎The aim of this paper is to establish the equivalence between the concepts‎ ‎of an $S$-metric space and a cone $S$-metric space using some topological‎ ‎approaches‎. ‎We introduce a new notion of a $TVS$-cone $S$-metric space using‎ ‎some facts about topological vector spaces‎. ‎We see that the known results on‎ ‎cone $S$-metric spaces (or $N$-cone metric spaces) can be directly obtained‎ from the studies on $S$-metric spaces‎.Sat, 29 Feb 2020 20:30:00 +0100Multi-valued fixed point theorems in complex valued $b$-metric spaces
http://jlta.iauctb.ac.ir/article_671987_1133993.html
‎The aim of this paper is to establish and prove some results on common fixed point‎ for a pair of multi-valued mappings in complex valued $b$-metric spaces‎. ‎Our‎ ‎results generalize and extend a few results in the literature‎. Sat, 29 Feb 2020 20:30:00 +0100On morphisms of crossed polymodules
http://jlta.iauctb.ac.ir/article_671992_1133993.html
‎In this paper‎, ‎we prove that the category of crossed polymodules (i.e‎. ‎crossed modules of polygroups) and their morphisms is finitely complete‎. ‎We‎, ‎therefore‎, ‎generalize the group theoretical case of this completeness property of crossed modules‎.Sat, 29 Feb 2020 20:30:00 +0100