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The fixed point results for generalized Pre\v{s}i\'c type mappings in the setup of $b$-metric spaces are obtained. The stability of fixed point set of Pre\v{s}i\'c type mappings is also established. Several examples are also presented to…

一般拓扑 · 数学 2023-07-26 Talat Nazir , Sergei Silvestrov

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

In this paper some generalized mappings due to L.B. Ciric over a generalized metric space have been studied with illustrative examples. Some theorems with necessary and sufficient conditions have been proved for such mappings on that space.

泛函分析 · 数学 2018-06-19 Kushal Roy , Mantu Saha

The major motives of this paper are to study different types of contractive mappings and also to answer an open question of Garai et al. [The contractive principle for mappings in $b_v(s)$-metric spaces, arXiv:1802.03136]. We first set up…

度量几何 · 数学 2020-05-12 Pratikshan Mondal , Hiranmoy Garai , Lakshmi Kanta Dey

The purpose of this paper is to obtain sufficient conditions for the existence of a unique fixed point of T-Kannan type mappings on complete cone metric spaces depended on another function.

泛函分析 · 数学 2009-10-26 José R. Morales , Edixon Rojas

In this paper we give some coupled fixed point results for mappings satisfying different contractive conditions on complete partial metric spaces.

一般拓扑 · 数学 2016-10-05 Hassen Aydi

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 discuss recent results about generalized metric spaces and fixed point theory. We introduce the notion of $\eta$-cone metric spaces, give some topological properties and prove some fixed point theorems for contractive type…

一般拓扑 · 数学 2017-09-25 Yaé Ulrich 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 2007 H. Long-Guang and Z. Xian, [H. Long-Guang and Z. Xian, Cone Metric Spaces and Fixed Point Theorems of Contractive Mapping, J. Math. Anal. Appl., 322(2007), 1468-1476], generalized the concept of a metric space, by introducing cone…

泛函分析 · 数学 2011-02-14 Mehdi Asadi , S. Mansour Vaezpour , Hossein Soleimani

In the present work we shall show that nonlinear contractive conditions on TVS-cone metric spaces can be reduced to nonlinear contractive conditions on usual metric spaces. Our results extend the results of Du (2010) [W.S. Du, A note on…

泛函分析 · 数学 2012-03-05 Ion Olaru

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 paper the concept of a partial cone metric space is investigated, some continuity type theorems, and fixed point theorems of contractive mappings in this generalized setting are proved as well as some theorems related to topological…

一般拓扑 · 数学 2012-09-20 Ayse Sonmez

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

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, we study some new common fixed point results of generalized contractive non-self multi-valued mappings on complete metric space.

泛函分析 · 数学 2013-09-06 Farshid Khojasteh , Vladimir Rakočević

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

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

The class of O-metric spaces generalize several existing metric-types in literature including metric spaces, b-metric spaces, and ultra metric spaces. In this paper, we discuss the properties of the topology induced by an O-metric and…

综合数学 · 数学 2025-04-29 Hallowed O. Olaoluwa , Aminat O. Ige , Johnson O. Olaleru

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
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