Results 111 to 120 of about 2,978 (161)

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  

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

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

Fixed point theorem for generalized weak contractions satisfying rational expressions in ordered metric spaces

open access: yesFixed Point Theory and Applications, 2011
In this paper, we prove a fixed point theorem for generalized weak contractions satisfying rational expressions in partially ordered metric spaces. The result is a generalization of a recent result of Harjani et al. (Abstr. Appl.
Luong Nguyen Van, Thuan Nguyen
doaj  

Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type

open access: yes, 2012
In this article, we study coupled coincidence and coupled common fixed point theorems in ordered generalized metric spaces for nonlinear contraction condition related to a pair of altering distance functions.
Y. Cho   +4 more
semanticscholar   +1 more source

Existence of tripled coincidence points in ordered b-metric spaces and an application to a system of integral equations

open access: yes, 2013
In this paper, tripled coincidence points of mappings satisfying some nonlinear contractive conditions in the framework of partially ordered b-metric spaces are obtained. Our results extend the results of Berinde and Borcut (Nonlinear Anal. 74:4889-4897,
Vahid Parvaneh   +2 more
semanticscholar   +1 more source

An admissible Hybrid contraction with an Ulam type stability

open access: yesDemonstratio Mathematica, 2019
In this manuscript, we introduce a new hybrid contraction that unify several nonlinear and linear contractions in the set-up of a complete metric space. We present an example to indicate the genuine of the proved result.
Karapınar Erdal, Fulga Andreea
doaj   +1 more source

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