Necessary and sufficient conditions for common fixed point theorems in fuzzy metric space

D. O'Regan; M. Abbas

doi:10.1515/dema-2009-0420

Necessary and sufficient conditions for common fixed point theorems in fuzzy metric space

D. O'Regan, M. Abbas

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

The aim of this paper is to provide a necessary and sufficient condition for the existence of a common fixed point of three maps f, g and T in a complete fuzzy metric space under a general contractive condition. A common fixed point theorem for a pair of weakly biased mappings, which is more general than weakly compatible mappings is also proved.

Original language	English
Pages (from-to)	887-900
Number of pages	14
Journal	Demonstratio Mathematica
Volume	42
Issue number	4
DOIs	https://doi.org/10.1515/dema-2009-0420
Publication status	Published - Oct 2009
Externally published	Yes

Keywords

Common fixed point
Fuzzy metric space
Weakly biased mapping

ASJC Scopus subject areas

General Mathematics

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10.1515/dema-2009-0420

Cite this

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title = "Necessary and sufficient conditions for common fixed point theorems in fuzzy metric space",

abstract = "The aim of this paper is to provide a necessary and sufficient condition for the existence of a common fixed point of three maps f, g and T in a complete fuzzy metric space under a general contractive condition. A common fixed point theorem for a pair of weakly biased mappings, which is more general than weakly compatible mappings is also proved.",

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AU - O'Regan, D.

AU - Abbas, M.

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AB - The aim of this paper is to provide a necessary and sufficient condition for the existence of a common fixed point of three maps f, g and T in a complete fuzzy metric space under a general contractive condition. A common fixed point theorem for a pair of weakly biased mappings, which is more general than weakly compatible mappings is also proved.

KW - Common fixed point

KW - Fuzzy metric space

KW - Weakly biased mapping

UR - https://www.scopus.com/pages/publications/84903890116

U2 - 10.1515/dema-2009-0420

DO - 10.1515/dema-2009-0420

M3 - Article

AN - SCOPUS:84903890116

SN - 0420-1213

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JO - Demonstratio Mathematica

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IS - 4

ER -

Necessary and sufficient conditions for common fixed point theorems in fuzzy metric space

Abstract

Keywords

ASJC Scopus subject areas

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