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The purpose of this paper is to attain the existence of coincidences and common fixed points in four mappings satisfying (ψ , β , L) -generalized contractive conditions in the framework of partially ordered b-metric spaces. The main results presented in this paper generalize some recent results in the existing literature. Furthermore, a nontrivial example is presented to support the obtained results. [ABSTRACT FROM AUTHOR]

A vector-b-metric space is a more general space than a b-metric space because it is Riesz space valued. The study of ordered vector spaces is important in economic analysis. In this paper, we prove some common fixed point results for three and four mappings on vector-b-metric space with a graph. Our results extend many known results for three and four mappings on vector metric spaces. [ABSTRACT FROM AUTHOR]

We study some common results in C*-algebra-valued S b -metric spaces. We also present an interesting application of an existing and unique result for one type of integral equation. [ABSTRACT FROM AUTHOR]

This study aims to show that four maps in a b-metric space that satisfy pairwise weak compatibility have common fixed points under certain conditions. In the main results of this paper, (CLR) property is employed, and common fixed points for four weakly compatible mappings are established. All our findings are backed up by befitting examples. Our results generalize and extend certain previous findings in the literature. [ABSTRACT FROM AUTHOR]

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The purpose of this paper is to attain the existence of coincidences and common fixed points in four mappings satisfying (ψ,β,L)-generalized contractive conditions in the framework of partially ordered b-metric spaces. The main results presented in this paper generalize some recent results in the existing literature. Furthermore, a nontrivial example is presented to support the obtained results.

The aim of this paper is to introduce new notions called generalized (g − F − φ) contraction and rational type (g − F − φ) contraction for hybrid maps in complete G-metric spaces. First, using new concept of generalized (g − F − φ) contraction we establish a common fixed point theorem for a hybrid pair of weakly compatible maps. Second, we prove a common fixed point theorem for occasionally coincidentally idempotent mappings satisfying another new concept of rational type (g − F − φ) contraction under common limit range property. Our results generalize and improve several known results of the existing literature. Also, we give an example to indicate the usefulness of our main results. [ABSTRACT FROM AUTHOR]

Abstract We prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modular G-metric spaces and also prove the modular G-continuity of such operators. Furthermore, we prove that some generalized weakly compatible contractive operators in modular G-metric spaces have a unique fixed point. Our results extend, generalize, complement and include several known results as special cases.

In this present article, we establish the concept of ϕ-weakly commuting self-mappings pairs in S-metric space. with this idea we create a common fixed point theorem of Altman integral type for self-mappings in the context of S-metric space. Example is constructed to support our result. [ABSTRACT FROM AUTHOR]

In this paper, the existence of common quadruple fixed point results for integral type contraction of two mappings in G-metric spaces is established. Some interesting consequences of our results are achieved. Moreover, we give an illustration that presents the applicability of the achieved results. [ABSTRACT FROM AUTHOR]

We study some common results in C*-algebra-valued Sb-metric spaces. We also present an interesting application of an existing and unique result for one type of integral equation.

We prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modular G-metric spaces and also prove the modular G-continuity of such operators. Furthermore, we prove that some generalized weakly compatible contractive operators in modular G-metric spaces have a unique fixed point. Our results extend, generalize, complement and include several known results as special cases. [ABSTRACT FROM AUTHOR]