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.
@article{29466,
title = {Some results on common best proximity point in fuzzy metric},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {35},
year = {2016},
doi = {10.5269/bspm.v35i2.29466},
language = {EN},
url = {http://dml.mathdoc.fr/item/29466}
}
Shayanpour, Hamid; Nematizadeh, Asiyeh. Some results on common best proximity point in fuzzy metric. Boletim da Sociedade Paranaense de Matemática, Tome 35 (2016) . doi : 10.5269/bspm.v35i2.29466. http://gdmltest.u-ga.fr/item/29466/