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2014 Discussion on Generalized-(α ψ, β φ)-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point Theorems
Maher Berzig, Erdal Karapınar, Antonio-Francisco Roldán-López-de-Hierro
Abstr. Appl. Anal. 2014: 1-12 (2014). DOI: 10.1155/2014/259768

Abstract

We extend the notion of (α ψ, β φ)-contractive mapping, a very recent concept by Berzig and Karapinar. This allows us to consider contractive conditions that generalize a wide range of nonexpansive mappings in the setting of metric spaces provided with binary relations that are not necessarily neither partial orders nor preorders. Thus, using this kind of contractive mappings, we show some related fixed point theorems that improve some well known recent results and can be applied in a variety of contexts.

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Maher Berzig. Erdal Karapınar. Antonio-Francisco Roldán-López-de-Hierro. "Discussion on Generalized-(α ψ, β φ)-Contractive Mappings via Generalized Altering Distance Function and Related Fixed Point Theorems." Abstr. Appl. Anal. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/259768

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022026
MathSciNet: MR3176729
Digital Object Identifier: 10.1155/2014/259768

Rights: Copyright © 2014 Hindawi

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