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In this paper, we study the existence of common fixed points of family of multivalued mappings satisfying generalized F-contractive conditions in ordered metric spaces. These results establish some of the general common fixed point theorems…

综合数学 · 数学 2016-06-17 Talat Nazir , Sergei Silvestrov

In this paper, some results on the existence of n-tuplet fixed points for multi-valued contraction mappings are proved via measure of noncompactness. As an application, the existence of solutions for a system of integral inclusions is…

泛函分析 · 数学 2020-02-04 Derya Sekman , Nour El Houda Bouzara , Vatan Karakaya

In this article, we introduce a new type of mapping contracting perimeters of triangles in a complete metric space and present related fixed point theorem. We study the metric completeness property of the underlying space in terms of fixed…

泛函分析 · 数学 2026-01-16 Tanusri Senapati

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 2025-08-13 Babu G. V. R. , Alemayehu Negash , Meaza Bogale

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

This paper deals with a modifed iterative projection method for approximating a solution of hierarchical fixed point problems for nearly nonexpansive mappings. Some strong convergence theorems for the proposed method are presented under…

泛函分析 · 数学 2014-03-17 Ibrahim Karahan , Murat Ozdemir

Let $(X,\dist)$ be a complete metric space and let $C\subseteq X$ be a closed invariant set. We study fixed points of maps $T\colon C\to C$ governed by a \emph{verifiable} contractive modulus. The modulus is encoded by a contractive gauge…

In this article we extend the notion of orthogonal metric space to weak orthogonal metric space. Then we establish fixed point results for a mapping satisfying a more general contraction condition. Several nontrivial examples are given in…

泛函分析 · 数学 2018-06-27 Tanusri Senapati

The aim of this paper is to provide characterizations of a Meir-Keeler type mapping and a fixed point theorem for the mapping in a metric space endowed with a transitive relation.

泛函分析 · 数学 2025-09-17 Koji Aoyama , Masashi Toyoda

Some fixed point results are given for a class of functional contractions acting on (reflexive) triangular symmetric spaces. Technical connections with the corresponding theories over (standard) metric and partial metric spaces are also…

一般拓扑 · 数学 2013-11-01 Mihai Turinici

We derive a fixed-point formula for integrals on moduli spaces of stable maps to projective spaces of even dimension. This gives a formula for the equivariant open Gromov-Witten invariants of (RP^{2m},CP^{2m}) and the structure constants of…

辛几何 · 数学 2017-03-09 Amitai Netser Zernik

In this study, we give definition of some multivalued hybrid mappings which are general than many mappings in the existing literature, then we give some existence and convergence results for these mappings in CAT({\kappa})-spaces

泛函分析 · 数学 2016-07-21 Emirhan Hacığlu , Vatan Karakaya

In this paper we introduce the concept of the rectangular metric like spaces, along with its topology and we prove some fixed point theorems under different contraction principles. We introduce the concept of modified metric-like space as…

一般拓扑 · 数学 2018-03-16 Nabil Mlaiki , Kamal Abudayeh , Thabet Abdeljawad , Muhib Abuloha

In this paper, we first discussed multiplicative metric mapping by giving some topological properties of the relevant multiplicative metric space. As an interesting result of our discussions, we observed that the set of positive real…

综合数学 · 数学 2014-10-13 Muttalip Ozavsar , Adem Cengiz Cevikel

We establish three major fixed-point theorems for functions satisfying an odd power type contractive condition in G-metric spaces. We first consider the case of a single mapping, followed by that of a triplet of mappings and we conclude by…

一般拓扑 · 数学 2017-09-25 Yaé Ulrich Gaba , Collins Amburo Agyingi

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

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

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

The concept of quasi-partial b-metric-like spaces is being introduced and studied with the help of topology. Examples are also discussed to support the results. Some fixed point theorems are proved in the setting of quasi-partial…

一般拓扑 · 数学 2018-12-04 Anuradha Gupta , Manu Rohilla

In this paper we introduce an interlacing condition on the elements of a family of operators that allows us to gather together a number of results on fixed points and common fixed points for single and families of mappings defined on metric…

泛函分析 · 数学 2022-12-29 Rafael Espínola , Maria Japón , Daniel Souza