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In this paper, we give some requirements under which two self-mappings have a common fixed point in $b$-metric-like spaces.

度量几何 · 数学 2023-12-08 B. Mohebbi Najmabadi , T. L. Shateri

A new, simple and unified approach in the theory of contractive mappings was recently given by Samet \emph{et al.} (Nonlinear Anal. 75, 2012, 2154-2165) by using the concepts of $\alpha$-$\psi$-contractive type mappings and…

泛函分析 · 数学 2013-06-18 Priya Shahi , Jatinderdeep Kaur , S. S. Bhatia

In this oaper, we prove some fixed point theorems in metric vector spaces, in which the continuity is not required for the considered mappings to satisfy. We provide some concrete examples to demonstrate these theorems. We also give some…

泛函分析 · 数学 2022-11-08 Jinlu Li

Using the setting of $G$-metric spaces, common fixed point theorems for four maps satisfying the weakly commuting conditions are obtained for various generalized contractive conditions. Several examples are also presented to show the…

一般拓扑 · 数学 2023-07-24 Talat Nazir , Sergei Silvestrov

This article presents a deep investigation of fixed points for multivalued weak contractions in cone metric spaces. We extend Berinde weak contraction principles to the multivalued setting in cone metric spaces, developing existence,…

泛函分析 · 数学 2025-08-13 Elvin Rada

We consider a new type of mappings in metric spaces which can be characterized as mappings contracting perimeters of triangles. It is shown that such mappings are continuous. The fixed-point theorem for such mappings is proved and the…

一般拓扑 · 数学 2023-08-03 Evgeniy Petrov

In this paper, considering a wider class of simulation functions some fixed point results for multivalued mappings in $\alpha$-complete metric spaces have been presented. Results obtained in this paper extend and generalize some well-known…

综合数学 · 数学 2018-01-17 Deepesh Kumar Patel

The first aim of this paper is to examine some important properties of soft metric spaces. Second is to introduce soft continuous mappings and investigate properties of soft continuous mappings. Third is to prove some fixed point theorems…

综合数学 · 数学 2013-08-22 Murat I. Yazar , Cigdem Gunduz , Sadi Bayramov

We established a fixed-point theorem for mapping satisfying a general contractive inequality of integral type depended an another function. This theorem substantially extend the theorem due to Branciari (2003) and Rhoades (2003)

泛函分析 · 数学 2009-03-10 S. Moradi

We introduce a new type of mappings in metric spaces which are three-point analogue of the well-known Kannan type mappings and call them generalized Kannan type mappings. It is shown that in general case such mappings are discontinuous but…

一般拓扑 · 数学 2025-01-06 Evgeniy Petrov , Ravindra K. Bisht

In this article, we prove some fixed point theorems in metric type spaces. This article is just a generalization some results previously proved in \cite{niyi-gaba}. In particular, we give some coupled common fixed points theorems under weak…

一般拓扑 · 数学 2015-05-12 Yaé Ulrich Gaba

In this paper, first we have established two sets of sufficient conditions for a mapping to have unique fixed point in a intuitionistic fuzzy metric space and then we have redefined the contraction mapping in a intuitionistic fuzzy metric…

综合数学 · 数学 2010-11-09 T. K. Samanta , Sumit Mohinta , Iqbal H. Jebril

The aim of this paper is to establish some metrical coincidence and common fixed point theorems with an arbitrary relation under an implicit contractive condition which is general enough to cover a multitude of well known contraction…

综合数学 · 数学 2017-01-13 Md Ahmadullah , Mohammad Imdad , Mohammad Arif

The major motives of this paper are to study different types of contractive mappings and also to answer an open question of Garai et al. [The contractive principle for mappings in $b_v(s)$-metric spaces, arXiv:1802.03136]. We first set up…

度量几何 · 数学 2020-05-12 Pratikshan Mondal , Hiranmoy Garai , Lakshmi Kanta Dey

The purpose of this paper is to obtain sufficient conditions for the existence of a unique fixed point of T-Kannan type mappings on complete cone metric spaces depended on another function.

泛函分析 · 数学 2009-10-26 José R. Morales , Edixon Rojas

Following the definition of perturbed metric space, in this paper, some fixed point theorems are established for $ F $-perturbed mappings in complete perturbed metric spaces and justify the result by counter example. Finally, an application…

度量几何 · 数学 2026-04-06 Dipti Barman , T. Bag

In this paper we introduce FG- coupled fixed point, which is a generalization of coupled fixed point for nonlinear mappings in partially ordered complete metric spaces. We discuss existence and uniqueness theorems of FG- coupled fixed…

一般拓扑 · 数学 2016-10-04 Prajisha Eacha , Shaini Pulickakunnel

We establish a simple and powerful lemma that provides a criterion for sequences in metric spaces to be Cauchy. Using the lemma, it is then easily verified that the Picard iterates $\{T^nx\}$, where $T$ is a contraction or asymptotic…

一般拓扑 · 数学 2016-04-06 Mortaza Abtahi

We establish two fixed point theorems for certain mappings of contractive type. The first result is concerned with the case where such mappings take a nonempty, closed subset of a complete metric space $X$ into $X$, and the second with an…

泛函分析 · 数学 2018-03-08 Daniel Reem , Simeon Reich , Alexander J. Zaslavski

In this paper, we establish coincidence fixed point and common fixed point theorems for two mapping in complete $C^*$-algebra-valued metric spaces which satisfy new contractive conditions. Some applications of our obtained results are…

泛函分析 · 数学 2015-07-01 Xin Qiaoling , Jiang Lining , Ma Zhenhua