Fixed Point and Best Proximity Point Results for Generalised Cyclic Coupled Mappings

J. Geno Kadwin, M. Marudai

Abstract

In this paper, by introducing the new concept called cyclic coupled
proximal mappings we explore the existence of strong coupled best proximity point
in metric spaces that generalizes the results of [1]. Further, we also proved the
existence of strong coupled fixed point for multi-valued cyclic coupled mapping
under suitable conditions.