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In this paper we prove some new fixed point theorems for multivalued mappings on orbitally complete uniform spaces.

General Topology · Mathematics 2007-05-23 Duran Turkoglu , Brian Fisher

We present a fixed point theorem on topological cylinders in normed linear spaces for maps satisfying a property of stretching a space along paths. This result is a generalization of a similar theorem obtained by D. Papini and F. Zanolin.…

General Topology · Mathematics 2015-03-27 Guglielmo Feltrin

In this paper, we first discussed multiplicative metric mapping by giving some topological properties of the relevant multiplicative metric space. As an interesting result of our discussions, we observed that the set of positive real…

General Mathematics · Mathematics 2014-10-13 Muttalip Ozavsar , Adem Cengiz Cevikel

We derive two fixed point theorems for a class of metric spaces that includes all Banach spaces and all complete Busemann spaces. We obtain our results by the use of a 1-Lipschitz barycenter construction and an existence result for…

Metric Geometry · Mathematics 2023-03-13 Giuliano Basso

The objective of this work is the construction of `Boyd-Wong fixed point theorem' in the setting of generalized parametric metric space and discussion its application on existence criteria of solutions to a second order initial value…

General Mathematics · Mathematics 2024-10-16 Abhishikta Das , Hijaz Ahmad , T. Bag

We show, following W. Holsztynski, that there exists a continuous metric d on the set of real numbers R such that any finite metric space is isometrically embeddable into (R,d).

General Topology · Mathematics 2007-05-23 S. Ovchinnikov

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…

Metric Geometry · Mathematics 2026-01-23 Doan Huu Hieu , Vo Minh Tam , Nguyen Duy Cuong

We establish coupled fixed point theorems for contraction involving rational expressions in partially ordered metric spaces.

General Topology · Mathematics 2010-05-19 Bessem Samet , Habib Yazidi

Schweizer, Sklar and Thorp proved in 1960 that a Menger space $(G,D,T)$ under a continuous $t$-norm $T$, induce a natural topology $\tau$ wich is metrizable. We extend this result to any probabilistic metric space $(G,D,\star)$ provided…

Functional Analysis · Mathematics 2019-07-12 Nazaret Bruno , Mohammed Bachir , Bruno Nazaret

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 we combine the notions of partial metric spaces with negative distances, $G_p$-metric spaces and n-metric spaces together into one structure called the partial n-metric spaces. These are generalizations of all the said…

General Topology · Mathematics 2015-08-18 Samer Assaf , Koushik Pal

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…

General Topology · Mathematics 2015-05-12 Yaé Ulrich Gaba

In the present paper, we extend the Zamfirescu results ([9]) to A-metric spaces. Firstly, we define the notion of Zamfirescu mapping in A-metric spaces. After, we also obtain a fixed point theorem for such mappings. The established results…

Functional Analysis · Mathematics 2021-06-30 Isa Yildirim

In this paper we consider partial metric spaces in the sense of O'Neill. We introduce the notions of strong partial metric spaces and Cauchy functions. We prove a fixed point theorem for such spaces and functions that improves Matthews'…

General Topology · Mathematics 2015-08-18 Samer Assaf , Koushik Pal

The concept of fixed point plays a crucial role in various fields of applied mathematics. The aim of this paper is to establish the existence of a unique fixed point of some type of functions which satisfy a new contraction principle,…

Functional Analysis · Mathematics 2025-05-27 Sanjay Roy , T. K. Samanta

In this paper we introduce generalized symmetric Meir-Keeler contractions and prove some coupled fixed point theorems for mixed monotone operators $F:X \times X \rightarrow X$ in partially ordered metric spaces. The obtained results extend,…

Functional Analysis · Mathematics 2011-03-29 Vasile Berinde

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…

General Mathematics · Mathematics 2017-01-04 Mitrofan M. Choban , Vasile Berinde

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

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,…

Functional Analysis · Mathematics 2012-05-31 Mehdi Asadi , Hossein Soleimani

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 and homotopy invariant fixed point theory. We show that in many cases,…

General Topology · Mathematics 2018-07-04 Laurence Boxer , P. Christopher Staecker