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 metric space (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 results in metric space.

Keywords

• Commute proximally
• Dominate proximally
• Weakly dominate proximally
• Common best proximity point
• Fuzzy metric space