Results 101 to 110 of about 3,016 (161)

A generalized weak contraction principle with applications to coupled coincidence point problems

open access: yes, 2013
In this paper we establish some coincidence point results for generalized weak contractions with discontinuous control functions. The theorems are proved in metric spaces with a partial order.
B. Choudhury, N. Metiya, M. Postolache
semanticscholar   +1 more source

A simple case within Nash-Moser-Ekeland theory

open access: yes, 2018
We present simple and direct proof to an important case of Nash-Moser-Ekeland theorem.Comment: In this third version we have made numerous improvements inspired by the referee, like correcting the definition of directional derivative to the standard ...
Ivanov, Milen, Zlateva, Nadia
core  

Positive coincidence points for a class of nonlinear operators and their applications to matrix equations

open access: yesOpen Mathematics, 2020
Consider an ordered Banach space and f,gf,g two self-operators defined on the interior of its positive cone. In this article, we prove that the equation f(X)=g(X)f(X)=g(X) has a positive solution, whenever f is strictly α\alpha -concave g-monotone or ...
Kedim Imed   +2 more
doaj   +1 more source

Common fixed point results for mappings under nonlinear contraction of cyclic form in ordered metric spaces

open access: yes, 2013
In this paper, we introduce the notion of a cyclic (ψ,A,B)-contraction for the pair (f,T) of self-mappings on the set X. We utilize our definition to introduce some common fixed point theorems for the two mappings f and T under a set of conditions. Also,
W. Shatanawi, M. Postolache
semanticscholar   +1 more source

Common fixed points of mappings satisfying implicit contractive conditions

open access: yesFixed Point Theory and Applications, 2012
In this article we obtain, in the setting of metric spaces or ordered metric spaces, coincidence point, and common fixed point theorems for self-mappings in a general class of contractions defined by an implicit relation.
V. Berinde, F. Vetro
semanticscholar   +1 more source

Remarks on some coupled fixed point theorems in G-metric spaces

open access: yes, 2013
In this paper, we show that, unexpectedly, most of the coupled fixed point theorems in the context of (ordered) G-metric spaces are in fact immediate consequences of usual fixed point theorems that are either well known in the literature or can be ...
R. Agarwal, E. Karapınar
semanticscholar   +1 more source

Fixed and periodic points of generalized contractions in metric spaces

open access: yes, 2013
Wardowski (Fixed Point Theory Appl. 2012:94, 2012, doi:10.1186/1687-1812-2012-94) introduced a new type of contraction called F-contraction and proved a fixed point result in complete metric spaces, which in turn generalizes the Banach contraction ...
M. Abbas, Basit Ali, S. Romaguera
semanticscholar   +1 more source

Fixed Point Theorem for Cyclic (μ, ψ, φ)-Weakly Contractions via a New Function

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2017
In this paper, we introduce a generalization of cyclic (μ, ψ, φ)-weakly contraction via a new function and derive the existence of fixed point for such mappings in the setup of complete metric spaces.
Almahalebi Muaadh   +2 more
doaj   +1 more source

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