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Best proximity points for generalized α-ϕ-Geraghty proximal contraction mappings and its applications

Fixed Point Theory and Applications (2016) 2016(1)
DOI: 10.1186/s13663-016-0561-0
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Abstract

In this paper, we introduce the new notion of generalized α-ϕ-Geraghty proximal contraction mappings and investigate the existence of the best proximity point for such mappings in complete metric spaces. The obtained results extend, generalize, and complement some known fixed and best proximity point results from the literature.

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Hamzehnejadi, J., & Lashkaripour, R. (2016). Best proximity points for generalized α-ϕ-Geraghty proximal contraction mappings and its applications. Fixed Point Theory and Applications, 2016(1). https://doi.org/10.1186/s13663-016-0561-0

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