Abstract

The purpose of this paper is to present the existence of the best period proximity point for cyclic weaker Meir-Keeler contractions and asymptotic cyclic weaker Meir-Keeler contractions in metric spaces.

Highlights

  • Introduction and PreliminariesThroughout this paper, by R we denote the set of all nonnegative numbers, while N is the set of all natural numbers

  • The purpose of this paper is to present the existence of the best period proximity point for cyclic weaker Meir-Keeler contractions and asymptotic cyclic weaker Meir-Keeler contractions in metric spaces

  • In 2005, Eldred et al 1 proved the existence of a best proximity point for relatively nonexpansive mappings using the notion of proximal normal structure

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Summary

Chiming Chen and Chingju Lin

The purpose of this paper is to present the existence of the best period proximity point for cyclic weaker Meir-Keeler contractions and asymptotic cyclic weaker Meir-Keeler contractions in metric spaces

Introduction and Preliminaries
Journal of Applied Mathematics
Full Text
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