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We established a fixed-point theorem for mapping satisfying a general contractive inequality of integral type depended an another function. This theorem substantially extend the theorem due to Branciari (2003) and Rhoades (2003)

Functional Analysis · Mathematics 2009-03-10 S. Moradi

This paper is devoted to prove the S. L. Singh's common fixed point Theorem for commuting mappings in cone metric spaces. In this framework, we introduce the notions of Generalized Kannan Con- traction, Generalized Zamfirescu Contraction…

Functional Analysis · Mathematics 2013-07-17 José R. Morales , Edixon Rojas

In this paper, we study some new fixed point results for self maps defined on partial metric type spaces. In particular, we give common fixed point theorems in the same setting. Some examples are given which illustrate the results.

General Topology · Mathematics 2018-09-12 Yaé Ulrich Gaba

Generalizations of a metric space is one of the most important research areas in mathematics. In literature ,there are several generalized metric spaces. The latest generalized metric space is b_{v}(s) metric space which is introduced by…

General Mathematics · Mathematics 2018-02-02 Ibrahim Karahan

In this paper we introduce and study new classes of mappings in metric spaces. The main class of mappings is called generalized orbital triangular contractions and it generalizes some existing results (such as Banach contractions, mappings…

General Topology · Mathematics 2024-04-25 Cristina Maria Pacurar , Ovidiu Popescu

In this paper we are going to prove a very general fixed point theorem for mappings acting in partial metric spaces. In that theorem we impose some conditions on behavior of considered mappings on orbits and a condition relating orbits of…

General Topology · Mathematics 2023-12-27 Dariusz Bugajewski , Piotr Maćkowiak

In this paper, we give some requirements under which two self-mappings have a common fixed point in $b$-metric-like spaces.

Metric Geometry · Mathematics 2023-12-08 B. Mohebbi Najmabadi , T. L. Shateri

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…

General Topology · Mathematics 2025-02-07 Ravindra K. Bisht , Evgeniy Petrov

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].

General Topology · Mathematics 2024-10-10 Shunya Hashimoto , Aqib Saghir

In this paper, we study the existence of fixed points for mappings defined on complete metric space (X, d) satisfying a general contractive inequality of integral type depended on another function. This conditions is analogous of Banach…

Functional Analysis · Mathematics 2009-03-10 S. Moradi , A. Beiranvand

The main aim of this paper is to study of fixed point theory in partial cone metric spaces. Infact, some common fixed point theorems for two mappings in partial cone metric spaces are obtained.

Functional Analysis · Mathematics 2022-08-16 Tayebe Lal Shateri

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

We present a study on strong t-continuity and measure of discontinuity on PN spaces. As an application, we prove a fixed point theorem for a self mapping on PN spaces by means of measure of discontinuity.

Functional Analysis · Mathematics 2007-06-12 Mohd Rafi

In the present paper, we introduce two new types of contractive mappings in perturbed metric spaces, namely $\varphi$-perturbed mappings and perturbed Kannan mappings. We prove a fixed point result for such mappings and show that our…

Dynamical Systems · Mathematics 2025-09-24 Maria Nutu , Cristina Maria Pacurar

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

The purpose of this paper is to introduce the class of R-enriched interpolative Kannan pair and proved a common fixed point result in the context of R-complete convex metric spaces. Some examples are presented to support the concepts…

General Mathematics · Mathematics 2022-11-24 Mujahid Abbas , Rizwan Anjum , Shakeela Riasat

In this article, we prove the existence of common fixed points for a pair of maps on a $q$-spherically complete $T_0$-ultra-quasi-metric space. The present article is a generalization, in the assymmetric setting of the paper of Rao et…

General Topology · Mathematics 2014-12-04 Collins Amburo Agyingi , Yaé Ulrich Gaba

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

The aim of this paper in to introduce a large class of mappings, called {\it enriched Kannan mappings}, that includes all Kannan mappings and some nonexpansive mappings. We study the set of fixed points and prove a convergence theorem for…

Functional Analysis · Mathematics 2019-09-06 Vasile Berinde , Mădălina Păcurar

We consider a new type of mappings in metric spaces so-called mappings contracting total pairwise distance on $n$ points. It is shown that such mappings are continuous. A theorem on the existence of periodic points for such mappings is…

General Topology · Mathematics 2025-04-01 Evgeniy Petrov