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Coupled best proximity point theorems for proximally g-Meir-Keeler type mappings in partially ordered metric spaces

Fixed Point Theory and Applications (2015) 2015(1)
DOI: 10.1186/s13663-015-0355-9
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Abstract

In this paper we first introduce the notion of proximally g-Meir-Keeler type mappings, then we study the existence and uniqueness of coupled best proximity points for these mappings. This generalization is in line with Edelstein’s generalization of Meir-Keeler type mappings, as well as in line with the recent one used in (Eshaghi Gordji in Math. Probl. Eng. 2012:150363, 2012).

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Abkar, A., Ghods, S., & Azizi, A. (2015). Coupled best proximity point theorems for proximally g-Meir-Keeler type mappings in partially ordered metric spaces. Fixed Point Theory and Applications, 2015(1). https://doi.org/10.1186/s13663-015-0355-9

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