Some results on common best proximity point in fuzzy metric
Author(s) -
Hamid Shayanpour,
Asiyeh Nematizadeh
Publication year - 2016
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v35i2.29466
Subject(s) - point (geometry) , metric (unit) , space (punctuation) , mathematics , metric space , topology (electrical circuits) , fuzzy logic , computer science , pure mathematics , artificial intelligence , geometry , combinatorics , engineering , operations management , operating system
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
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