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In this paper, we introduce the notion of $\alpha$--contractive mapping of Meir--Keeler type in complete metric spaces and prove new theorems which assure the existence, uniqueness and iterative approximation of the fixed point for this…

General Topology · Mathematics 2013-03-26 Maher Berzig , Mircea-Dan Rus

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

In this present article, we etablish some existence results of $\varphi-$fixed point of a mapping in a $C^{\ast}$-algebra valued metric spaces and we deduce some fixed point theorems in $C^{\ast}$-algebra valued partial metric spaces.…

Operator Algebras · Mathematics 2022-04-20 Hafida Massit , Mohamed Rossafi

This paper is devoted to studying of some properties of multivalued mappings in Euclidean space. There were proved theorems on a fixed point for multivalued mappings whose restrictions to some subset in the closure of a domain satisfy "a…

Complex Variables · Mathematics 2013-10-11 Yuri Zelinskii , Maxim Tkachuk , Bogdan Klishchuk

This paper is an introduction to soft cone metric spaces. We define the concept of soft cone metric via soft element, investigate soft converges in soft cone metric spaces and prove some fixed point theorems for contractive mappings on soft…

General Mathematics · Mathematics 2016-10-06 İsmet Altıntaş , Kemal Taşköprü

We establish an approximate fixed point result for self-maps on compact convex subsets of Hausdorff topological vector spaces where continuity is not a necessary condition.

Functional Analysis · Mathematics 2009-01-29 Cleon S. Barroso

For a finite and positive measure space $(\Omega,\Sigma,\mu)$ and any weakly compact convex subset of $L\sp\infty(\Omega,\Sigma,mu)$, a fixed point theorem for a class of nonexpansive self-mappings is proved. An analogous result is obtained…

Functional Analysis · Mathematics 2007-05-23 Cleon S. Barroso

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

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

In this paper, we study the existence of fixed points for mappings defined on complete (compact) metric space (X, d) satisfying a general contractive (contraction) inequality depended on another function. These conditions are analogous to…

Functional Analysis · Mathematics 2009-03-10 A. Beiranvand , S. Moradi , M. Omid , H. Pazandeh

Our purpose of this paper is to focus on fixed point property in fuzzy metric space. To achieve our objective, we will introduce a new contraction condition to examine the fixed point for multi-valued mapping, then we will be investigating…

General Mathematics · Mathematics 2024-07-23 Ismail Tahiri , Ahmed Nuino

In this paper, we establish coincidence fixed point and common fixed point theorems for two mapping in complete $C^*$-algebra-valued metric spaces which satisfy new contractive conditions. Some applications of our obtained results are…

Functional Analysis · Mathematics 2015-07-01 Xin Qiaoling , Jiang Lining , Ma Zhenhua

In this paper we establish the existence of related fixed points theorems for two pairs of mappings with different contraction conditions in two fuzzy metric spaces.

General Mathematics · Mathematics 2012-05-14 T. K. Samanta , Sumit Mohinta , Iqbal H. Jebril

In this study, multivalued generalizations of certain classes of single-valued transformations defined on metric spaces are obtained. Building upon recently introduced concepts such as mappings contracting perimeters of triangles, new…

Functional Analysis · Mathematics 2025-05-06 Emirhan Hacioğlu

In this work, a new concept of nonself total asymptotically nonexpansive mapping is introduced and an iterative process is considered for two nonself totally asymptotically nonexpansive mappings. Weak and strong convergence theorems for…

Functional Analysis · Mathematics 2017-04-18 Birol Gunduz , Hemen Dutta , Adem Kilicman

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

In this paper, the concept of quasi-finitely separating map and quasiapproximate identity are introduced. Based on these concepts, QFS-spaces and quasicontinuous maps are defined. Properties and characterizations of QFS-spaces are explored.…

General Topology · Mathematics 2022-12-14 Wu Wang

We study the dynamics in C^2 of superattracting fixed point germs and of polynomial maps near infinity. In both cases we show that the asymptotic attraction rate is a quadratic integer, and construct a plurisubharmonic function with the…

Dynamical Systems · Mathematics 2007-05-23 Charles Favre , Mattias Jonsson

This paper introduces a new type of simulation function within the framework of $b$-metric spaces, leading to the derivation of fixed-point results in this general setting. We explore the theoretical implications of these results and…

Metric Geometry · Mathematics 2025-01-14 Anuradha Gupta , Rahul Mansotra

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
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