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Fixed Point Theorems for a Class of alpha-Admissible Contractions and Applications to Boundary Value Problem
Journal article   Open access  Peer reviewed

Fixed Point Theorems for a Class of alpha-Admissible Contractions and Applications to Boundary Value Problem

Hamed H. Alsulami, Selma Gulyaz, Erdal Karapinar and Inci M. Erhan
Abstract and applied analysis, Vol.2014, pp.1-10
01/01/2014

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
A class of alpha-admissible contractions defined via altering distance functions is introduced. The existence and uniqueness conditions for fixed points of such maps on complete metric spaces are investigated and related fixed point theorems are presented. The results are reconsidered in the context of partially ordered metric spaces and applied to boundary value problems for differential equations with periodic boundary conditions.
url
https://doi.org/10.1155/2014/187031View
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