Ali Bagheri

In this article, we introduce the concept of C∗-algebra-valued extended rectangular Hb-metric spaces and use it to prove the Banach contraction principle (BCP). Also, we extend this concept to Presić type contractions and use a method to shorten the proof. We also take an application to show the usefulness of our main result.

This paper considers coupled fixed point theorems on unital without of order semi-simple fundamental locally multiplicative topological algebras (abbreviated by FLM algebras)

Abstract This research focuses on proving the results of tripled fixed point and coincidence point in generalized metric spaces endowed with vector-valued metrics and matrix equations. The results from this study are illustrated by two applications.

The intention of this paper is to prove various stability results of reciprocal-septic and reciprocal-octic functional equations in non-Archimedean fields and nonzero real numbers relevant to Hyers, Rassias, and Găvruţa stability. Appropriate counter-examples are supplied to invalidate the results in the cases of singularities.

Some new results concerning Arens regularity of Banach algebras are presented. n-weak amenability of module extensions of Banach algebras and w∗-continuous derivations on Banach algebras are studied.

Let A be a Banach algebra with the second dual A ** . If A has a bounded approximate identity (BAI), then A ** is unital if and only if A ** has a weak * bounded approximate identity (W * BAI). If A is Arens regular and A has a BAI, then A * factors on both sides.

In this paper we consider the generalized distance, present a generalization of ¶ Ciric's generalized contraction flxed point theorems on a complete metric space and inves- tigate a common flxed point theorem about a sequence of mappings concerning generalized distance.