Article ID Journal Published Year Pages File Type
842017 Nonlinear Analysis: Theory, Methods & Applications 2011 7 Pages PDF
Abstract

We introduce a notion of cyclic orbital Meir–Keeler contraction and give sufficient conditions for the existence of fixed points and best proximity points of such a map. Our main result is a generalization of a best proximity point result due to Di Bari et al. [C. Di Bari, T. Suzuki, C. Vetro, Best proximity points for cyclic Meir–Keeler contractions, Nonlinear Anal. 69 (2008) 3790–3794].

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