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Using the setting of ordered metric spaces, we obtain common end point of two multivalued mappings satisfying a generalized $(\psi,\varphi)$-weak contractive condition. Under comparative condition on the set of end points of multivalued…

度量几何 · 数学 2023-05-17 Talat Nazir , Sergei Silvestrov

A self-map $T$ of a $\nu$-generalized metric space $(X,d\,)$ is said to be a Ciric-Matkowski contraction if $d(Tx,Ty)<d(x,y)$, for $x\neq y$, and, for every $\epsilon>0$, there is $\delta>0$ such that $d(x,y)<\delta+\epsilon$ implies…

一般拓扑 · 数学 2015-06-01 Mortaza Abtahi

Banach's fixed point theorem in linear n-normed space is being developed. Also, we present several theorems on fixed points in linear n-normed space.

度量几何 · 数学 2022-10-17 Prasenjit Ghosh , T. K. Samanta

A branch of generalizations of the Banach Fixed Point Theorem replaces contractivity by a weaker but still effective property. The aim of the present note is to extend the contraction principle in this spirit for such complete semimetric…

泛函分析 · 数学 2017-06-29 Mihály Bessenyei , Zsolt Páles

The paper studies a general scheme for constructing metrics on a product of metric spaces by means of a family of continuous convex functions. This construction includes the conventional $p$-metrics and generates metrics that are…

度量几何 · 数学 2026-01-23 Doan Huu Hieu , Vo Minh Tam , Nguyen Duy Cuong

In this paper, the notion of $\mathbb{C}$-simulation function is introduced and the existence and uniqueness of common fixed points of two self-mappings satisfying contractive conditions in the setting of complex valued metric spaces via…

泛函分析 · 数学 2019-05-10 Anuradha Gupta , Manu Rohilla

In this paper we extend the coupled fixed point theorems for mixed monotone operators $F:X \times X \rightarrow X$ obtained in [T.G. Bhaskar, V. Lakshmikantham, \textit{Fixed point theorems in partially ordered metric spaces and…

泛函分析 · 数学 2011-03-29 Vasile Berinde

A general fixed point theorem for isometries in terms of metric functionals is proved under the assumption of the existence of a conical bicombing. It is new even for isometries of Banach spaces as well as for non-locally compact…

泛函分析 · 数学 2023-01-19 Anders Karlsson

Startpoints (resp. endpoints) can be defined as "oriented fixed points". They arise naturally in the study of fixed for multi-valued maps defined on quasi-metric spaces. In this article, we give a new result in the startpoint theory for…

一般拓扑 · 数学 2018-04-02 Collins Amburo Agyingi , Yaé Ulrich Gaba

In this paper, we establish some common fixed point results for two pairs of weakly compatible mappings in the setting of $C$-complex valued metric space. Also, as application of the proved result, we obtain the existence and uniqueness of…

泛函分析 · 数学 2017-09-12 Deepak Kumar , Sumit Chandok

This paper is an introduction to soft cone metric spaces. We define the concept of soft cone metric via soft element, investigate soft converges in soft cone metric spaces and prove some fixed point theorems for contractive mappings on soft…

综合数学 · 数学 2016-10-06 İsmet Altıntaş , Kemal Taşköprü

In this paper a generalized topological central point theorem is proved for maps of a simplex to finite-dimensional metric spaces. Similar generalizations of the Tverberg theorem are considered.

代数拓扑 · 数学 2012-02-07 R. N. Karasev

We establish the existence of common fixed points for $C_q$-commuting self-mappings satisfying a generalized Gregus-type inequality with quadratic terms in $q$-starshaped subsets of normed linear spaces. Our framework extends classical…

综合数学 · 数学 2025-07-08 Babu G. V. R. , Alemayehu Negash , Meaza Bogale

In this paper, we introduce a new class of implicit function to prove common fixed point theorems in fuzzy metric space. Moreover we define a new altering distance in terms of integral and utilize the same to deduce integral type…

泛函分析 · 数学 2018-07-09 Rachana Soni

In this paper, we introduce a three-point analogue of \'Ciri\'c-Reich-Rus type mappings, termed as generalized \'Ciri\'c-Reich-Rus type mappings. We demonstrate that these mappings generally exhibit discontinuity within their domain of…

一般拓扑 · 数学 2025-02-07 Ravindra K. Bisht , Evgeniy Petrov

The definition of many-to-one mapping, or $m$-to-$1$ mapping for short, between two finite sets is introduced in this paper, which unifies and generalizes the definitions of $2$-to-$1$ mappings and $n$-to-$1$ mappings. A generalized local…

信息论 · 计算机科学 2024-08-09 Yanbin Zheng , Yanjin Ding , Meiying Zhang , Pingzhi Yuan , Qiang Wang

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

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

In this short note, we obtain partial quasi-metric versions of Kannan's fixed point theorem for self-mappings. Moreover, we use these fixed points results to characterize a certain type of completeness in partial quasi-metric spaces. We…

一般拓扑 · 数学 2019-02-11 Yaé Ulrich Gaba

We prove a Kannan-type fixed point theorem for multi-valued mappings on G-complete fuzzy metric spaces. The proof uses the Hausdorff fuzzy metric space which was introduced by Rodriguez-Lopez and Romaguera [19].

一般拓扑 · 数学 2024-10-10 Shunya Hashimoto , Aqib Saghir
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