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We present coincidence and common fixed point results of selfmappings satisfying a contraction type in partially ordered metric spaces. As an application, we give an existence theorem for a common solution of integral equations.

General Topology · Mathematics 2016-11-25 Hassen Aydi

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

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…

General Topology · Mathematics 2015-06-01 Mortaza Abtahi

In this paper, vector ultrametric spaces are introduced and a fixed point theorem is given for correspondences. Our main result generalizes a known theorem in ordinary ultrametric spaces.

Classical Analysis and ODEs · Mathematics 2013-05-14 Kourosh Nourouzi

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

We obtain an extended Reich fixed point theorem for the setting of generalized cone rectangular metric spaces without assuming the normality of the underlying cone. Our work is a generalization of the main result in \cite{AAB} and…

Functional Analysis · Mathematics 2014-10-31 Sriram Balasubramanian

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

S-metric space was introduced by Sedghi et al. in 2012. We derive some common fixed point results for self-mappings on vector valued complete S-metric space. In support of our results, we also give some examples.

General Mathematics · Mathematics 2023-04-16 Pooja Yadav , Mamta Kamra , Rajpal

In this research article, we discuss two topics. Firstly, we introduce SCC-Map and $\phi$-contraction type $T$-coupling. By using these two definitions, we generalize $\phi$-contraction type coupling given by H. Aydi et al. [3] to…

Functional Analysis · Mathematics 2017-10-30 Tawseef Rashid , Q. H. Khan

In this paper, we extend the concept of \( b \)-metric spaces to the vectorial case, where the distance is vector-valued, and the constant in the triangle inequality axiom is replaced by a matrix. For such spaces, we establish results…

Functional Analysis · Mathematics 2025-02-17 Radu Precup , Andrei Stan

In this paper, we give an interesting extension of the partial S-metric space which was introduced [4] to the M_s-metric space. Also, we prove the existence and uniqueness of a fixed point for a self mapping on an Ms-metric space under…

General Mathematics · Mathematics 2016-10-11 N. Mlaiki , N. Souayah , K. Abodayeh , T. Abdeljawad

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

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

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

In this paper we give some coupled fixed point results for mappings satisfying different contractive conditions on complete partial metric spaces.

General Topology · Mathematics 2016-10-05 Hassen Aydi

In this paper, we propose a generalized notion of a distance function, called a $g$-metric. The $g$-metric with degree $n$ is a distance of $n+1$ points, generalizing the ordinary distance between two points and $G$-metric between three…

General Topology · Mathematics 2024-11-12 Hayoung Choi , Sejong Kim , Seung Yeop Yang

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…

General Topology · Mathematics 2017-02-24 Yaé Olatoundji Gaba

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 consider a relatively new hybrid generalized F-contraction involving a pair of mappings and utilize the same to prove a common fixed point theorem for a hybrid pair of occasionally coincidentally idempotent mappings satisfying…

Functional Analysis · Mathematics 2016-04-04 Hemant Kumar Nashine , Mohammad Imdad , MD Ahmadullah

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…

Functional Analysis · Mathematics 2017-03-02 Yaé Olatoundji Gaba
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