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The Generalized Weaker (alpha-phi-phi)-Contractive Mappings and Related Fixed Point Results in Complete Generalized Metric Spaces
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The Generalized Weaker (alpha-phi-phi)-Contractive Mappings and Related Fixed Point Results in Complete Generalized Metric Spaces

Maryam A. Alghamdi, Chi-Ming Chen and Erdal Karapinar
Abstract and applied analysis, Vol.2014, pp.1-10
01/01/2014
DOI: https://doi.org/10.1155/2014/985080

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We introduce the notion of generalized weaker (alpha-phi-phi)-contractive mappings in the context of generalized metric space. We investigate the existence and uniqueness of fixed point of such mappings. Some consequences on existing fixed point theorems are also derived. The presented results generalize, unify, and improve several results in the literature.
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https://doi.org/10.1155/2014/985080View
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