Mathematical Analysis and its Contemporary Applications
http://www.macajournal.com/
Mathematical Analysis and its Contemporary Applicationsendaily1Tue, 01 Jun 2021 00:00:00 +0430Tue, 01 Jun 2021 00:00:00 +0430Intuitionistic fuzzy stability of the heptic functional equation
http://www.macajournal.com/article_682027.html
In this article, by using a fixed point method, we establish the intuitionistic fuzzy version of Hyers-Ulam stability for a heptic functional equation that was introduced by Xu and Rassias. This way shows that the concept of stability is related to some fixed point of a suitable operator.On character amenability of weighted convolution algebras on certain semigroups
http://www.macajournal.com/article_682819.html
In this work, we study the character amenability of weighted convolution algebras $\ell^{1} (S,\omega)$, where $ S $ is a semigroup of classes of inverse semigroups with a uniformly locally finite idempotent set, inverse semigroups with a finite number of idempotents, Clifford semigroups and Rees matrix semigroups. We show that for inverse semigroup with a finite number of idempotents and any weight $ \omega $, $\ell^{1} (S,\omega)$ is character amenable if each maximal semigroup of $ S $ is amenable. Then for a commutative semigroup $ S $ and $ \omega(x)\geq 1$, for all $ x\in S $. Moreover, we show that character amenability of $\ell^{1} (S,\omega)$ implies that $ S $ is a Clifford semigroup. Finally, we investigate the character amenability of the weighted convolution algebra $ \ell^{1} (S,\omega)$, and its second dual for a Rees matrix semigroup.Fixed point results for generalized contractions in S-metric spaces
http://www.macajournal.com/article_682825.html
In this paper, we discuss the existence of a fixed point for a generalized contraction in S-metric spaces. We furnish some examples in support of our main results. Our results generalize and improve many well-known results in the existing literature.Some coupled coincidence point results in partially ordered metric spaces
http://www.macajournal.com/article_682831.html
In this paper, we introduce the notion of partial-compatibility of mappings in an ordered partial metric space and use this notion to establish coupled coincidence point theorems for $\phi$-mixed monotone mappings satisfying a nonlinear contraction condition. Our consequences is an extension of the results of Shatanawi et al. [W. Shatanawi, B. Samet and M. Abbas, \textit{Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces}, Math. Comp. Model., 55(3-4) (2012), 680-687]. We also provide an example to illustrate the results presented herein.The coincidence point results and rational contractions in E(s)-distance spaces
http://www.macajournal.com/article_682834.html
The purpose of this article is to clarify the concept of semi-interior points of positive cones by presenting some results and examples in this context.&nbsp; Moreover, the new concept of E(s)-distance spaces is defined, which generalizes $E$-metric spaces. In addition, some coincidence point results have been obtained that extend and generalize some known results in the literature.Biﬂatness of Banach algebras modulo an ideal
http://www.macajournal.com/article_682838.html
Biﬂatness of Banach algebras is one of the important topics in the study of cohomological properties of Banach algebras. This concept has a close relationship with the amenability of Banach algebras. In this paper, we introduce a new notion namely biﬂatness of Banach algebras modulo closed ideals. Moreover, we deﬁne the concept of virtual diagonal modulo ideals for investigating biﬂatness of Banach algebras modulo closed ideals. We show that biﬂatness of a Banach algebra A modulo I is equivalent to the existence of I -virtual diagonal modulo ideal I. By this result, we show that amenability of A/I implies biﬂatness of A modulo I. Moreover, we investigate the relationship of biﬂatness of the Banach algebra A modulo I with the biﬂatness of A/I . Finally, biﬂatness of Banach algebras modulo closed ideals is weaker than biprojectivity of them modulo closed ideals and provide examples to better understand the contentA new version of the Hahn Banach theorem in b-Banach spaces
http://www.macajournal.com/article_683277.html
In this paper, we introduce the notion of b-Banach spaces and we present some examples. Also, we give an important extension of the Hahn-Banach theorem in a $b$-Banach space with an application.On various types of compatible Jungck--Rhoades pairs of mappings in C*-algebra valued metric spaces
http://www.macajournal.com/article_683278.html
In this paper, among other things, we have&nbsp;established four different types of compatible mappings that work&nbsp;in the context of C*-algebra valued metric spaces. The&nbsp;obtained types of mappings generalize from previously known ones&nbsp;within ordinary metric spaces. We have shown by examples that these types&nbsp;of mappings are really different. They can be used to consider new fixed point results which were done in the paper for the case of common fixed points of some mappings. The results in this paper&nbsp;generalize, extend, unify, enrich and complement many known&nbsp;results in the existing literature.