In this paper we introduce the notion of proximal -normal structure of pair of -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.
"Best Proximity Point Theorems for Cyclic Relatively -Nonexpansive Mappings in Modular Spaces." Abstr. Appl. Anal. 2018 1 - 8, 2018. https://doi.org/10.1155/2018/8084712