Some results on common best proximity point in fuzzy metric

Abstract

In this paper, we dene the concepts of commute proximally, dominate prox-imally, weakly dominate proximally and common best proximity point in fuzzy metricspace (abbreviated, FM-space). We prove some common best proximity point and com-mon xed point theorems for dominate proximally and weakly dominate proximally map-pings in FM-space under certain conditions. Our results generalize many known resultsin metric space.