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In this paper we introduce FG- coupled fixed point, which is a generalization of coupled fixed point for nonlinear mappings in partially ordered complete metric spaces. We discuss existence and uniqueness theorems of FG- coupled fixed…

General Topology · Mathematics 2016-10-04 Prajisha Eacha , Shaini Pulickakunnel

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…

General Topology · Mathematics 2013-06-03 Aris Aghanians , Kourosh Nourouzi

In this paper we establish some common fixed point theorem for a new class of pair of contractions mappings, called $\psi-(\alpha,\beta, m)$-contraction pairs, which we will assume occasionally weakly compatible and satisfying the property…

Functional Analysis · Mathematics 2013-07-17 J. R. Morales , E. M. Rojas

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…

Functional Analysis · Mathematics 2019-05-10 Anuradha Gupta , Manu Rohilla

The fixed-point theory and its applications to various areas of science are well known. In this paper we present some existence and uniqueness theorems for fixed circles of self-mappings on metric spaces with geometric interpretation. We…

Metric Geometry · Mathematics 2025-06-03 Nihal Yilmaz Özgür , Nihal Taş

In this article, we present a new type of fixed point for single valed mapping in a $G$-complete $G$-metric space.

General Topology · Mathematics 2017-02-28 Yaé Olatoundji Gaba

Several recent papers in digital topology have sought to obtain fixed point results by mimicking the use of tools from classical topology, such as complete metric spaces. We show that in many cases, researchers using these tools have…

Geometric Topology · Mathematics 2018-08-30 Laurence Boxer

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…

General Topology · Mathematics 2012-09-20 Ayse Sonmez

In this article, we introduce the notions of sequentially compactness and boundedly compactness in the framework of a newly defined $b_v(s)$-metric space which is a generalization of usual metric spaces and several other abstract spaces. We…

Functional Analysis · Mathematics 2018-02-12 Hiranmoy Garai , Lakshmi Kanta Dey , Pratikshan Mondal

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…

General Mathematics · Mathematics 2016-06-17 Talat Nazir , Sergei Silvestrov

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…

Functional Analysis · Mathematics 2025-09-10 Elvin Rada

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…

General Topology · Mathematics 2015-12-14 K. Abodayeh , A. Pitea , W. Shatanawi , T. Abdeljawad

We develop a fixed-point extension of quantitative equational logic and give semantics in one-bounded complete quantitative algebras. Unlike previous related work about fixed-points in metric spaces, we are working with the notion of…

Logic in Computer Science · Computer Science 2021-07-01 Radu Mardare , Prakash Panangaden , Gordon Plotkin

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…

Functional Analysis · Mathematics 2018-03-08 Daniel Reem , Simeon Reich , Alexander J. Zaslavski

In a nutshell, stay-points are locations that a person has stopped for some amount of time. Previous work depends mainly on stay-point identification methods using experimentally fine tuned threshold values. These behave well on their…

Other Computer Science · Computer Science 2017-01-24 Georgios Stylianou

A certain class of directed metric graphs is considered. Asymptotics for a number of possible endpoints of a random walk at large times is found.

Combinatorics · Mathematics 2021-12-22 Vsevolod Chernyshev , Anton Tolchennikov

We study weak and strong solutions of nonlinear non-compact operator equations in abstract spaces of adapted random points. The main result of the paper is similar to Schauder's fixed-point theorem for compact operators. The illustrative…

Probability · Mathematics 2022-08-02 Arcady Ponosov

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…

Classical Analysis and ODEs · Mathematics 2013-05-17 A. Aghanians , K. Fallahi , K. Nourouzi

In this paper, we study the fixed point theory for multi-valued mappings on partial cone metric spaces. We prove an analogous to the well-known Kannan$'s$ fixed point theorem and Chatterjea$'s$ fixed point theorem for multi-valued mappings…

Functional Analysis · Mathematics 2022-09-21 T. L. Shateri , H. Isik

In this paper, we introduce the new concepts of subcompatibility and subsequential continuity which are respectively weaker than occasionally weak compatibilty and reciprocal continuity. With them, we establish several common fixed point…

Functional Analysis · Mathematics 2011-05-24 Hakima Bouhadjera , Christiane Godet-Thobie