Best Proximity Point Theorems for Cyclic Relatively ρ -Nonexpansive Mappings in Modular Spaces

Abstract

In this paper we introduce the notion of proximal $\rho$-normal structure of pair of $\rho$-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.