Best proximity points of generalized almost ψ-Geraghty contractive non-self-mappings

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Date
2014-08-08
Authors
AYDI, Hassen
KARAPINAR, Erdal
ERHAN, İnci M.
SALIMI, Peyman
Journal Title
Journal ISSN
Volume Title
Publisher
Fixed Point Theory and Applications
Abstract
In this paper, we introduce the new notion of almost ψ-Geraghty contractive mappings and investigate the existence of a best proximity point for such mappings in complete metric spaces via the weak P-property. We provide an example to validate our best proximity point theorem. The obtained results extend, generalize, and complement some known fixed and best proximity point results from the literature.
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Keywords
mathematics
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