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In this paper, we discuss the existence of fixed points for integral type contractions in uniform spaces endowed with both a graph and an $E$-distance. We also give two sufficient conditions under which the fixed point is unique. Our main…

一般拓扑 · 数学 2013-06-03 Aris Aghanians , Kourosh Nourouzi

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

In this note, we discuss some fixed point theorems for contractive self mappings defined on a $G$-metric spaces. More precisely, we give fised point theorems for mappings with a contractive iterate at a point.

一般拓扑 · 数学 2017-02-24 Yaé Olatoundji Gaba

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

In this paper, we study the existence of fixed points for mappings defined on complete (compact) metric space (X, d) satisfying a general contractive (contraction) inequality depended on another function. These conditions are analogous to…

泛函分析 · 数学 2009-03-10 A. Beiranvand , S. Moradi , M. Omid , H. Pazandeh

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

We introduce two new classes of single-valued contractions of polynomial type defined on a metric space. For the first one, called the class of polynomial contractions, we establish two fixed point theorems. Namely, we first consider the…

一般拓扑 · 数学 2025-05-27 Mohamed Jleli , Cristina Maria Pacurar , Bessem Samet

In this paper, we study the existence of fixed points for mappings defined on complete metric space (X, d) satisfying a general contractive inequality of integral type depended on another function. This conditions is analogous of Banach…

泛函分析 · 数学 2009-03-10 S. Moradi , A. Beiranvand

In this article, we discuss fixed point results for $(\varepsilon,\lambda)$-uniformly locally contractive self mapping defined on $\varepsilon$-chainable $G$-metric type spaces. In particular, we show that under some more general…

一般拓扑 · 数学 2017-02-24 Yaé Olatoundji Gaba

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, we study the existence of fixed points for mappings defined on complete, (sequentially compact) cone metric spaces, satisfying a general contractive inequality depending of two additional mappings.

泛函分析 · 数学 2015-02-17 José R. Morales , Edixon Rojas

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

In this paper, we study some new fixed point results for self maps defined on partial metric type spaces. In particular, we give common fixed point theorems in the same setting. Some examples are given which illustrate the results.

一般拓扑 · 数学 2018-09-12 Yaé Ulrich Gaba

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

We introduce and study a general concept of multiple fixed point for mappings defined on partially ordered distance spaces in the presence of a contraction type condition and appropriate monotonicity properties. This notion and the obtained…

综合数学 · 数学 2017-01-04 Mitrofan M. Choban , Vasile Berinde

In this paper, we introduce the notion of $\alpha$--contractive mapping of Meir--Keeler type in complete metric spaces and prove new theorems which assure the existence, uniqueness and iterative approximation of the fixed point for this…

一般拓扑 · 数学 2013-03-26 Maher Berzig , Mircea-Dan Rus

In this paper, first we have established two sets of sufficient conditions for a TS-IF contractive mapping to have unique fixed point in a intuitionistic fuzzy metric space. Then we have defined \,$(\,\epsilon \,,\, \lambda\,)$\,…

综合数学 · 数学 2011-03-16 T. K. Samanta , Sumit Mohinta

In this paper we prove some new fixed point theorems for multivalued mappings on orbitally complete uniform spaces.

一般拓扑 · 数学 2007-05-23 Duran Turkoglu , Brian Fisher

In this paper, we prove some common coupled fixed point theorems for mappings satisfying different contractive conditions in the context of complete $C^*$-algebra-valued metric spaces. Moreover, the paper provides an application to prove…

算子代数 · 数学 2020-10-06 Tianqing Cao , Qiaoling Xin

We introduce a new class of asymptotic contractions that employs two quasi-metrics defined directly in terms of the underlying mapping. The contraction condition compares these two quantities via a sequence of bounding functions that…

泛函分析 · 数学 2026-04-20 Jie Shi
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