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In this paper, we investigate the existence and uniqueness of fixed points for self-mappings defined on bipolar metric spaces using a new class of contractive conditions, namely polynomial-type contractions. Our main results establish…

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

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 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 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 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

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

Generalized (rational) graph contractions in the framework of a dislocated metric space endowed with a directed graph are investigated. Fixed point results for set-contractions are obtained. We also provide some examples to illustrate our…

组合数学 · 数学 2023-08-09 Talat Nazir , Zakaria Ali , Shahin Nosrat Jogan , Sergei Silvestrov

We consider bounded 2-metric spaces satisfying an additional axiom, and show that a contractive mapping has either a fixed point or a fixed line.

度量几何 · 数学 2011-04-08 Abdelkrim Aliouche , Carlos T. Simpson

In this paper, we generalize the notion of $\lambda$-generalized contractions introduced by \'Ciri\'c from metric to uniform spaces endowed with a graph and discuss on the existence and uniqueness of fixed points for this type of…

一般拓扑 · 数学 2013-04-08 Aris Aghanians , Kamal Fallahi , Kourosh Nourouzi , Ram U Verma

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

Fixed point results with respect to generalized rational contractive mappings in semi-metric spaces endowed with a directed graph are proved. Some examples are provided to illustrate the results. The obtained results extend, improve and…

一般拓扑 · 数学 2023-08-04 Talat Nazir , Zakaria Ali , Shahin Nosrat Jogan , Sergei Silvestrov

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

The aim of this paper is to prove a fixed point theorem on a generalised cone metric spaces for maps satisfying general contractive type conditions.

经典分析与常微分方程 · 数学 2016-10-04 Sudip Kumar Pal , Manojit Maity

The existence and uniqueness of the common fixed point for generalized contractive mappings in order partial metric spaces is investigated. The existence of nonnegative solution of implicit nonlinear integral equations is also studied. Some…

综合数学 · 数学 2023-08-08 Talat Nazir , Sergei Silvestrov

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 article, we derive a common fixed point result for a pair of single valued and set-valued mappings on a metric space having graphical structure. In this case, the set-valued map is assumed to be closed valued instead of closed and…

泛函分析 · 数学 2023-01-24 Pallab Maiti , Asrifa Sultana

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

In this paper, we equip a C*-algebra-valued b-metric spaces with a graph G = (V,E) and establish some common fixed point theorems. Also, some examples in support of our main results are provided. Finally, as applications, existence and…

泛函分析 · 数学 2017-08-01 Bahman Moeini , Arsalan Hojat Ansari

Some fixed point results are given for a class of functional contractions over partial metric spaces. These extend some contributions in the area due to Ilic et al [Math. Comput. Modelling, 55 (2012), 801-809].

一般拓扑 · 数学 2012-03-27 Mihai Turinici
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