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In the present article, we introduce a unified notion of multi-tupled fixed points and utilize the same to prove some existence and uniqueness unified multi-tupled fixed point theorems for Boyd-Wong type nonlinear contractions satisfying…

泛函分析 · 数学 2016-01-12 Aftab Alam , Mohammad Imdad , Javid Ali

In this paper, inspired by the concept of generalized weakly contractive mappings in metric spaces, we introduce C-Class function and fixed point theory for weakly contractive in the setting of rectangular $b$-metric spaces and established…

一般拓扑 · 数学 2023-05-23 Mohamed Rossafi , Abdelkarim Kari , Arsalan Hojjat Ansari

In this paper, we present the Brouwer-Schauder-Tychonoff fixed point theorem on locally convex spaces as the following extension and improvement: Suppose that S is a compact star-shaped subset with respect to p in S with its convexity index…

泛函分析 · 数学 2026-02-11 Lixin Cheng , Chulei Liu , Wen Zhang

In this paper, we give a generalization of Hicks type contractions and Golet type contractions on fuzzy metric spaces. We prove some fixed point theorems for this new type contractions mappings on fuzzy metric spaces.

泛函分析 · 数学 2007-06-12 Ioan Golet , Mohd Rafi

In this paper we make some observations concerning m-metric spaces and point out some discrepancies in the proofs found in the literature. To remedy this, we propose a new topological construction and prove that it is in fact a…

一般拓扑 · 数学 2018-07-03 Samer Assaf

The concept of fixed point plays a crucial role in various fields of applied mathematics. The aim of this paper is to establish the existence of a unique fixed point of some type of functions which satisfy a new contraction principle,…

泛函分析 · 数学 2025-05-27 Sanjay Roy , T. K. Samanta

In this paper we prove FG-coupled fixed point theorems for different contractive mappings and generalized quasi- contractive mappings in partially ordered complete metric spaces. We prove the existence of FG-coupled fixed points of…

一般拓扑 · 数学 2016-04-12 Deepa Karichery , Shaini Pulickakunnel

In this paper, we introduce a new category of mappings within metric spaces, specifically focusing on three-point analogs of the well-established Chatterjea type mappings. We demonstrate that Chatterjea type mappings and their three-point…

一般拓扑 · 数学 2024-03-14 Ravindra K. Bisht , Evgeniy Petrov

In this paper, we establish some common fixed point results for a new class of pair of contractions mappings having functions as contractive parameters, and satisfying certain commutative properties.

泛函分析 · 数学 2015-02-17 J. R. Morales , E. M. Rojas

The purpose of this note is to generalize the celebrated Ran and Reurings fixed point theorem to the setting of a space with a binary relation that is only transitive (and not necessarily a partial order) and a relation-complete metric. The…

一般拓扑 · 数学 2015-02-16 Hichem Ben-El-Mechaiekh

The aim of this paper is to generalize some fixed point theorems in the class of convex contraction of order $m$ on a complete suprametric space. Then, we will prove that the class of convex contraction of order m is strong enough to…

综合数学 · 数学 2026-05-11 Nicola Fabiano , Sedigheh Barootkoob , Hossein Lakzian

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 establish common fixed point theorems for two pairs of weakly compatible self-mappings using an auxiliary function of two variables. Unlike classical results, our theorems do not assume continuity of the mappings and require completeness…

泛函分析 · 数学 2025-09-10 Babu G. V. R. , Alemayehu Negash , Sandhya M. L. , Meaza Bogale

We establish the existence of a common fixed point for mappings that satisfy and extend the F-contraction condition. To support our findings, we present pertinent definitions and properties associated with F-contraction mappings.…

综合数学 · 数学 2025-05-08 Djamel Deghoul , Zoheir Chebel , Abdellatif Boureghda , Salah Benyoucef

In this paper we establish some common fixed point theorem for a new class of pair of contractions mappings, called $\psi-(\alpha,\beta, m)$-contraction pairs, which we will assume occasionally weakly compatible and satisfying the property…

泛函分析 · 数学 2013-07-17 J. R. Morales , E. M. Rojas

In this work, using a new geometrical approach we study to the existence of the fixed-point of mappings that independence of the smoothness, and also of their single-values or multi-values. This work proved the theorems that generalize in…

偏微分方程分析 · 数学 2022-03-22 Kamal N. Soltanov

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 paper we discuss on the fixed points of asymptotic contractions and Boyd-Wong type contractions in uniform spaces equipped with an E-distance. A new version of Kirk's fixed point theorem is given for asymptotic contractions and…

经典分析与常微分方程 · 数学 2013-05-17 A. Aghanians , K. Fallahi , K. Nourouzi

We show that for the case of uniformly convex Banach spaces the conditions of the Brondsted fixed point theorem can be relaxed.

泛函分析 · 数学 2023-02-16 Oleg Zubelevich

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