Best proximity pair and fixed point results for noncyclic mappings in modular spaces

In this paper, we formulate best proximity pair theorems for noncyclic relatively ρ-nonexpansive mappings in modular spaces in the setting of proximal ρ-admissible sets. As a companion result, we establish a best proximity pair theorem for pointwise noncyclic contractions in modular spaces. To that...

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Bibliographic Details
Main Authors: Karim Chaira, Samih Lazaiz
Format: Article
Language:English
Published: Emerald Publishing 2018-07-01
Series:Arab Journal of Mathematical Sciences
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516617301603