English
Related papers

Related papers: On partial cone metric spaces

200 papers

In this paper we prove FG-coupled fixed point theorems for different contractive mappings and generalized quasi- contractive mappings in partially ordered complete metric spaces. We prove the existence of FG-coupled fixed points of…

General Topology · Mathematics 2016-04-12 Deepa Karichery , Shaini Pulickakunnel

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 paper, we study main properties of cone normed spaces, and prove some theorems of weighted means in cone normed spaces.

Functional Analysis · Mathematics 2010-06-29 Ayse Sonmez , Huseyin Cakalli

The aim of this paper is to establish the equivalence between the concepts of an $S$-metric space and a cone $S$-metric space using\ some topological approaches. We introduce a new notion of $TVS$-cone $S$-metric space using some facts…

General Topology · Mathematics 2018-01-03 Nihal Taş

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

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.…

Functional Analysis · Mathematics 2013-05-29 Vyacheslav V. Chistyakov

The aim of this paper is to provide characterizations of a Meir-Keeler type mapping and a fixed point theorem for the mapping in a metric space endowed with a transitive relation.

Functional Analysis · Mathematics 2025-09-17 Koji Aoyama , Masashi Toyoda

Spaces of quasi-invariant measures supplied with different topologies are studied. Their embeddings, projective decompositions, conditions for their metrizability are investigated. Theorems about convergence of nets of quasi-invariant…

Probability · Mathematics 2016-06-08 Sergey Victor Ludkowski

The paper introduces the class of O-metric spaces, a novel generalization of metric-type spaces, classifying almost all possible metric types into upward and downward O-metrics. We list some topologies arising from O-metrics and discuss…

General Mathematics · Mathematics 2025-04-29 Hallowed O. Olaoluwa , Aminat O. Ige , Johnson O. Olaleru

In this paper, we extend a fixed point theorem due to Ciric to a cone metric space.

General Topology · Mathematics 2010-05-19 Bessem Samet

We introduce vectorial and topological continuities for functions defined on vector metric spaces and illustrate spaces of such functions. Also, we describe some fundamental classes of vector valued functions and extension theorems.

Functional Analysis · Mathematics 2012-04-23 Cuneyt Cevik

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…

Functional Analysis · Mathematics 2017-06-29 Mihály Bessenyei , Zsolt Páles

The main aspect of this paper is to investigate some topological properties and Kannan-type contractions in extended cone b-metric spaces. Additionally we have imposed some extra conditions such that a sequence in an extended cone b-metric…

General Topology · Mathematics 2023-08-09 Iqbal Kour , Pooja Saproo , Shallu Sharma

Some fixed point results are given for a class of functional contractions acting on (reflexive) triangular symmetric spaces. Technical connections with the corresponding theories over (standard) metric and partial metric spaces are also…

General Topology · Mathematics 2013-11-01 Mihai Turinici

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

We consider discrete metric spaces and we look for non-constant contractions. We introduce the notion of contractive map and we characterize the spaces with non-constant contractive maps. We provide some examples to discussion the possible…

Classical Analysis and ODEs · Mathematics 2010-11-19 Fabio Zucca

This paper surveys some selected topics in the theory of conformal metrics and their connections to complex analysis, partial differential equations and conformal differential geometry.

Complex Variables · Mathematics 2008-05-16 Daniela Kraus , Oliver Roth

We consider bounded 2-metric spaces satisfying an additional axiom, and show that a contractive mapping has either a fixed point or a fixed line.

Metric Geometry · Mathematics 2011-04-08 Abdelkrim Aliouche , Carlos T. Simpson

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…

General Mathematics · Mathematics 2017-05-29 Meltem Kaya , Hasan Furkan

In this article, we present some fixed point theorems in partially ordered G-metric space using the concept of $(\psi,\phi)$- weak contraction which extend many existing fixed point theorems in such space. We also give some examples to show…

Functional Analysis · Mathematics 2014-03-11 Snehasish Bose , Sk Monowar Hossein