Fixed Point Theorems for Weakly Compatible Mappings in Intuitionistic Fuzzy Metric Spaces

Year 2013, Volume: 26 Issue: 2, 173 - 179, 19.01.2013

Sunny Chauhan , B. Pant Sandeep Bhatt

Abstract

Sintunavarat and Kumam [Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces, J. Appl. Math. vol. 2011, Article ID 637958, 14 pages, 2011] defined the notion of (CLRg)property which is more general than (E.A) property. The aim of this paper is to prove a common fixed point

theorem for a pair of weakly compatible mappings in intuitionistic fuzzy metric spaces employing (CLRg)property. Our results improve and generalize several previously known fixed point theorems of the existingliterature.

Keywords

Intuitionistic fuzzy metric space, property (E.A), common limit range property, weakly compatible mappings, fixed point.

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