Search

The purpose of this research article is to point out some fallacies in the statements of the main results of Rao et al. [Bull. Maths. Stat. Res] and Berrah et al. [AIMS Mathematics, 4(3)(2023), 1019{1033] and give a genuine contractive condition in the framework of complex valued b-metric spaces. We also introduce interpolative rational contractions in complex valued b-metric spaces and prove some fixed point results for such contractions. A non-trivial example is also provided to demonstrate the validity of obtained theorems. As an application, we investigate the existence of solutions for integral equations. [ABSTRACT FROM AUTHOR]

In this paper, we establish some new fixed point theorems for multivalued mappings in the context of metric spaces. Some special cases are also discussed to derive some well known results of the literature. Finally, one example is also presented to verify the effectiveness and applicability of our main results. [ABSTRACT FROM AUTHOR]

Jleli and Samet [J. Fixed Point Theory Appl. (2018) 20:128] introduced a new metric space named as F-metric space. They established a new version of the Banach contraction principle in the setting of this generalized metric spaces. The aim of this article is to define rational contraction and obtain some fixed point theorems in the context of F-metric spaces. Our results extend, generalize and unify several known results in the literature. [ABSTRACT FROM AUTHOR]

The aim of this paper is to introduce α-generalized multi-valued contractions in cone metric spaces over Banach Algebras with solid cones and show the existence of fixed points of these contractions in this context. Our results generalize and extend several known results in metric and cone metric spaces given by some authors. Also, we give one example to illustrate significance of the main result in this paper. [ABSTRACT FROM AUTHOR]

The aim of this article is to study the cone b-metric spaces over Banach Algebra with solid cones and establish some fixed points of multivalued mappings in this setting. Our results generalize and extend several known results of metric, cone metric and cone b-metric spaces. An example and certain consequences are presented to illustrate significance of established results. [ABSTRACT FROM AUTHOR]

The aim of this article is to introduce new family of functions M(S; T) and N(S; T) and obtain some new common fixed point theorems in the context of multiplicative metric spaces. The established results carry some well known results from the literature to multiplicative metric space. [ABSTRACT FROM AUTHOR]

The aim of this paper is to introduce cyclic compatible Θ-contraction and establish some common fixed point theorems in the setting of a generating space of a b-quasi-metric family. We also apply a simple condition on the function Θ to extend the result of Samet et al. (J. Inequal. Appl. 2014; 38(2014)). With this condition, we also prove a fixed point theorem for Suzuki type Θ-contractions which generalize various results of literature. [ABSTRACT FROM AUTHOR]