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In this paper, we are concerned with the study of the existence of fixed points for single and multi-valued three-points contractions. Namely, we first introduce a new class of single-valued mappings defined on a metric space equipped with…

一般拓扑 · 数学 2025-02-28 Mohamed Jleli , Evgeniy Petrov , Bessem Samet

The main purpose of this work is to extend the properties of multivalued transformations to the integral type transformations and to obtain the existence of fixed points under F-contraction. In addition, the results of this study were…

综合数学 · 数学 2020-02-04 Derya Sekman , Vatan Karakaya

In this present article, we get sufficient conditions for the existence and uniqueness of fixed points and common fixed points for single and double mapping satisfying various contractive conditions within the partially ordered…

综合数学 · 数学 2017-05-29 Meltem Kaya , Hasan Furkan

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

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 shall show that some coincidence point and common fixed point results for three or four mappings could easily be obtained from the corresponding fixed point results for two mappings.

泛函分析 · 数学 2013-02-18 Cristina Di Bari , Pasquale Vetro

The purpose of this paper is to present some multidimensional fixed-point theorems and their applications. For this, we provide a multidimensional fixed point theorem and then using this theorem we prove the existence and uniqueness of a…

泛函分析 · 数学 2021-07-28 H. Akhadkulov , S. Akhatkulov , T. Y. Ying , R. Tilavov

The notion of a (metric) modular on an arbitrary set and the corresponding modular space, more general than a metric space, were introduced and studied recently by the author [V. V. Chistyakov, Metric modulars and their application, Dokl.…

泛函分析 · 数学 2013-05-29 Vyacheslav V. Chistyakov

In this paper we study the existence and uniqueness of fixed points of a class of mappings defined on complete, (sequentially compact) cone metric spaces, without continuity conditions and depending on another function.

泛函分析 · 数学 2009-06-12 José R. Morales , Edixon Rojas

The main purpose of this paper is to find the fixed point in such cases where existing literature remain silent. In this paper we introduce partial completeness, a new type of contraction and many other definitions. Using this approach the…

泛函分析 · 数学 2018-03-23 Tawseef Rashid , Qamrul Haque Khan

We prove fixed point theorems in a space with a distance function that takes values in a partially ordered monoid. On the one hand, such an approach allows one to generalize some fixed point theorems in a broad class of spaces, including…

泛函分析 · 数学 2026-03-24 Vladyslav Babenko , Vira Babenko , Oleg Kovalenko

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 by using the measure of noncompactness concept, we present new fixed point theorems for multivalued maps. In further we introduce a new class of mappings which are general than Meir-Keeler mappings. Finally, we use these…

泛函分析 · 数学 2020-02-04 Nour el Houda Bouzara , Vatan Karakaya

In this article, we present a new type of fixed point for single valed mapping in a $G$-complete $G$-metric space.

一般拓扑 · 数学 2017-02-28 Yaé Olatoundji Gaba

In this article, we use $\lambda$-sequences to derive common fixed points for a family of self-mappings defined on a complete $G$-metric space. We imitate some existing techniques in our proofs and show that the tools emlyed can be used at…

一般拓扑 · 数学 2017-03-27 Yaé Olatoundji Gaba

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 aim of this paper is to present some fixed point theorems for generalized contractions by altering distance functions in a complete cone metric spaces endowed with a partial order. We also generalize fixed point theorems of J. Harjani,…

泛函分析 · 数学 2012-05-31 Mehdi Asadi , Hossein Soleimani

We establish the first common fixed point theorem for commutative set-valued mappings. This may help to generalize common fixed point theorems in single-valued setting to those in set-valued. We also prove the existence of a fixed point in…

泛函分析 · 数学 2018-01-08 Issa Mohamadi

In this article, we study coupled fixed point theorems in newly appeared JS-metric spaces. It is important to note that the class of JS-metric spaces includes standard metric space, dislocated metric space, b-metric space etc. The purpose…

综合数学 · 数学 2016-06-21 Tanusri Senapati , Lakshmi Kanta Dey

In the present paper, we extend the Zamfirescu results ([9]) to A-metric spaces. Firstly, we define the notion of Zamfirescu mapping in A-metric spaces. After, we also obtain a fixed point theorem for such mappings. The established results…

泛函分析 · 数学 2021-06-30 Isa Yildirim