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2018 Best Proximity Point Theorems for Cyclic Relatively ρ -Nonexpansive Mappings in Modular Spaces
Karim Chaira, Samih Lazaiz
Abstr. Appl. Anal. 2018: 1-8 (2018). DOI: 10.1155/2018/8084712

Abstract

In this paper we introduce the notion of proximal ρ -normal structure of pair of ρ -admissible sets in modular spaces. We prove some results of best proximity points in this setting without recourse to Zorn’s lemma. We provide some examples to support our conclusions.

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Karim Chaira. Samih Lazaiz. "Best Proximity Point Theorems for Cyclic Relatively ρ -Nonexpansive Mappings in Modular Spaces." Abstr. Appl. Anal. 2018 1 - 8, 2018. https://doi.org/10.1155/2018/8084712

Information

Received: 17 June 2018; Accepted: 12 September 2018; Published: 2018
First available in Project Euclid: 16 November 2018

zbMATH: 07029295
MathSciNet: MR3864593
Digital Object Identifier: 10.1155/2018/8084712

Rights: Copyright © 2018 Hindawi

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