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In this paper, we introduce a new type of coupled fixed point theorem in partially ordered complete metric space. We give an example to support of our result.

General Topology · Mathematics 2017-03-31 Isa Yildirim

Mean nonexpansive mappings were first introduced in 2007 by Goebel and Japon Pineda and advances have been made by several authors toward understanding their fixed point properties in various contexts. For any given $(\alpha_1,…

Functional Analysis · Mathematics 2016-09-26 Torrey M. Gallagher

In this paper, we establish a common fixed point theorem for two pairs of occasionally weakly compatible single and set-valued maps satisfying a strict contractive condition in a metric space. Our result extends many results existing in the…

Functional Analysis · Mathematics 2009-06-17 Hakima Bouhadjera , Christiane Godet-Thobie

In this paper,\ the authors define a space with an uniform base at non-isolated points, give some characterizations of images of metric spaces by boundary-compact maps, and study certain relationship among spaces with special base…

General Topology · Mathematics 2011-06-22 Fucai Lin , Shou Lin

We investigate the concept of a standard map for the interaction of relativistic particles and electrostatic waves of arbitrary amplitudes, under the action of external magnetic fields. The map is adequate for physical settings where waves…

Accelerator Physics · Physics 2010-10-28 M. C. de Sousa , F. M. Steffens , R. Pakter , F. B. Rizzato

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

In this survey we present a generalization of the notion of metric space and some applications to discrete structures as graphs, ordered sets and transition systems. Results in that direction started in the middle eighties based on the…

Combinatorics · Mathematics 2020-02-11 Mustapha Kabil , Maurice Pouzet

In this note, we highlight some properties of the metric projection onto a closed convex in a Hilbert space. In particular, we use some recent results on fixed points of nonexpansive potential operators.

Functional Analysis · Mathematics 2016-05-03 Biagio Ricceri

The fixed-circle problem is a recent problem about the study of geometric properties of the fixed point set of a self-mapping on metric (resp. generalized metric) spaces. The fixed-disc problem occurs as a natural consequence of this…

General Topology · Mathematics 2021-01-27 Nabil Mlaiki , Nihal Ozgur , Nihal Tas

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 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

In this note, we discuss common fixed point for a family of self mapping defined on a metric type space and satisfying a weakly contractive condition. In our development, we make use of the $\lambda$-sequence approach and also of a certain…

General Topology · Mathematics 2024-08-06 Collins Amburo Agyingi , Yaé Ulrich Gaba

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 this paper, we consider a wider class of simulation functions and present some coincidence and common fixed point results in metric spaces. Results obtained in this paper extend, generalize and unify some well-known fixed and common…

Functional Analysis · Mathematics 2017-09-21 D. K. Patel , P. R. Patle , R. Pant , D. Gopal

In this paper, using a new shrinking projection method and generalized resolvents of maximal monotone operators and generalized projections, we consider the strong convergence for finding a common point of the fixed points of a Bregman…

Functional Analysis · Mathematics 2023-04-21 Bijan Orouji , Ebrahim Soori , Donal O'Regan , Ravi P. Agarwal

We consider semidifferentiable (possibly nonsmooth) maps, acting on a subset of a Banach space, that are nonexpansive either in the norm of the space or in the Hilbert's or Thompson's metric inherited from a convex cone. We show that the…

Functional Analysis · Mathematics 2014-03-12 Marianne Akian , Stephane Gaubert , Roger Nussbaum

The aim of this work is to describe the set of fixed point free homeomorphisms of the plane under certain expansive conditions.

Dynamical Systems · Mathematics 2009-06-26 Jorge Groisman

In this paper, we introduce a new class of implicit function to prove common fixed point theorems in fuzzy metric space. Moreover we define a new altering distance in terms of integral and utilize the same to deduce integral type…

Functional Analysis · Mathematics 2018-07-09 Rachana Soni

In this paper, we shall show that some coincidence point and common fixed point results for three or four mappings could easily be obtained from the corresponding fixed point results for two mappings.

Functional Analysis · Mathematics 2013-02-18 Cristina Di Bari , Pasquale Vetro

In this article, we propose an idea to develop some sufficient conditions for the existence and uniqueness of a positive definite common solution to a pair of non-linear matrix equations. To proceed this, we present some interesting common…

Functional Analysis · Mathematics 2018-05-10 Hiranmoy Garai , Lakshmi Kanta Dey
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