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Some fixed point theorems for (alpha, psi)-rational type contractive mappings
Journal article   Open access  Peer reviewed

Some fixed point theorems for (alpha, psi)-rational type contractive mappings

Hamed H. Alsulami, Sumit Chandok, Mohamed-Aziz Taoudi and Inci M. Erhan
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2015(1), pp.1-12
27/06/2015
DOI: https://doi.org/10.1186/s13663-015-0332-3

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we introduce the concept of (alpha, psi)-rational type contractive mappings and provide sufficient conditions for the existence and uniqueness of a fixed point for such class of generalized nonlinear contractive mappings in the setting of generalized metric spaces. We also deduce several interesting corollaries.
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https://doi.org/10.1186/s13663-015-0332-3View
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