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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 article, we give new results in the startpoint theory for quasi-pseudometric spaces. The results we present provide us with the existence of startpoint (endpoint, fixed point) for multi-valued maps defined on a bicomplete…

泛函分析 · 数学 2017-03-02 Yaé Olatoundji Gaba

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 article, we define and explore the topological properties of partial Sb-metric space. We define interpolative Boyd-Wong type contraction and interpolative Matkowski type contractions in the setting of partial Sb-metric space and…

一般拓扑 · 数学 2023-10-20 Anuradha Gupta , Rahul Mansotra

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

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

The objective of this manuscript is to introduce and develop the concept of a generalized $\theta$-parametric metric space-a novel extension that enriches the modern metric fixed point theory. We study of its fundamental properties,…

最优化与控制 · 数学 2025-10-02 Abhishikta Das , Hemanta Kalita , Mohammad Sajid , T. Bag

The famous Banach Contraction Principle holds in complete metric spaces, but completeness is not a necessary condition -- there are incomplete metric spaces on which every contraction has a fixed point. The aim of this paper is to present…

泛函分析 · 数学 2019-10-08 S. Cobzaş

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 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 introduced two new generalized metric spaces called partial b_{v}(s) and b_{v}({\theta}) metric spaces which extend b_{v}(s) metric space, b-metric space, rectangular metric space, v-generalized metric space, partial…

一般拓扑 · 数学 2023-01-27 Ibrahim Karahan , Irfan Isik

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

This paper seeks to advance the theory of nonexpansive mappings by introducing and exploring a novel class of nonexpansive type mappings, which we aptly designate as perimetric nonexpansive mappings. We establish that the collection of…

泛函分析 · 数学 2025-08-12 Anish Banerjee , Hiranmoy Garai , Pratikshan Mondal , Lakshmi Kanta Dey

This paper establishes novel fixed point theorems for Kannan-type and Chatterjea-type mappings in probabilistic cone metric spaces. By integrating probabilistic distance functions with cone-valued structures, we generalize classical fixed…

泛函分析 · 数学 2025-09-10 Elvin Rada

This paper presents a new version of boundary on coarse spaces. The space of ends functor maps coarse metric spaces to uniform topological spaces and coarse maps to uniformly continuous maps.

度量几何 · 数学 2019-07-08 Elisa Hartmann

Our aim in this paper is to prove some interesting fixed point theorems for the class of asymptotically $T$-regular mappings in the framework of preordered modular G-metric spaces. Our results are novel and generalizes several know results.…

泛函分析 · 数学 2021-04-27 Godwin Amechi Okeke , Daniel Francis

This paper introduces a novel generalization of the classical concept of $S$-metric spaces, referred to as composed $S$-metric spaces. By incorporating a composed function, we impose more general conditions on the triangle inequality,…

综合数学 · 数学 2025-09-16 Nizar Souayah

We introduce the concept of quotient in PN spaces and give some examples. We prove some theorems with regard to the completeness of a quotient.

概率论 · 数学 2007-05-23 Bernardo Lafuerza-Guillen , Donal O'Regan , Reza Saadati

In this article we studied the relationship between metric spaces and multiplicative metric spaces. Also, we pointed out some fixed and common fixed point results under some contractive conditions in multiplicative metric spaces can be…

一般拓扑 · 数学 2015-12-14 K. Abodayeh , A. Pitea , W. Shatanawi , T. Abdeljawad

We establish two fixed point theorems for certain mappings of contractive type. The first result is concerned with the case where such mappings take a nonempty, closed subset of a complete metric space $X$ into $X$, and the second with an…

泛函分析 · 数学 2018-03-08 Daniel Reem , Simeon Reich , Alexander J. Zaslavski