Some results on common best proximity point in fuzzy metric

Hamid Shayanpour Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Shahrekord, Shahrekord 88186-34141, Iran
Asiyeh Nematizadeh Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Shahrekord, Shahrekord 88186-34141, Iran

DOI: https://doi.org/10.5269/bspm.v35i2.29466

Keywords: Commute proximally, Dominate proximally, Weakly dominate proximally, Common best proximity point, Fuzzy metric space

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.

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