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FIXED POINT THEOREMS IN FUZZY METRIC SPACES THROUGH WEAK COMPATIBILITY


SEEMA MEHRA, RENU CHUGH

Issue:

SSRSMI, Number 1, Volume XXII

Section:

Volume 22, Number 1

Abstract:

We prove a common fi xed point theorem for six self-maps on a complete fuzzy metric space that generate some compatible and weakly compatible pairs of maps. Our result extends and uni es corresponding fi xed point theorems of Sessa [9], Jungck [5], [6], Singh and Chauhan [10], that were proved for commuting and weakly commuting self maps of metric spaces or of probabilistic metric spaces.

Keywords:

fuzzy metric space, t-norm, common fi xed point, compatible maps, weak-compatible maps.

Code [ID]:

SSRSMI201201V22S01A0003 [0003647]

DOI:

Full paper:

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