Saurabh Manro

International Journal of Modern Education and Computer Science (IJMECS)

IJMECS Vol. 4, No. 5, 8 May 2012

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Common Fixed Points of Self Maps Satisfying an Integral Type Contractive Condition in Intuionistic Fuzzy Metric Space

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Author(s)

Saurabh Manro ^1,*

1. School of Mathematics and Computer Applications, Thapar University, Patiala (Punjab)

* Corresponding author.

DOI: https://doi.org/10.5815/ijmecs.2012.05.04

Received: 10 Feb. 2012 / Revised: 14 Mar. 2012 / Accepted: 10 Apr. 2012 / Published: 8 May 2012

Index Terms

Intuitionistic fuzzy metric space, weakly compatible maps, weakly compatible maps of type (A), common fixed point

Abstract

In this paper, we prove two common fixed point theorems. In first theorem, we prove common fixed point theorem for two weakly compatible self maps of type (A) satisfying an integral type contractive condition in intuitionistic fuzzy metric space. In the second theorem, we prove common fixed point theorem for two weakly compatible maps satisfying an integral type contractive condition in intuitionistic fuzzy metric space. These results are proved without exploiting the notion of continuity and without imposing any condition of t-norm and t-conorm.

Cite This Paper

Saurabh Manro, "Common Fixed Points of Self Maps Satisfying an Integral Type Contractive Condition in Intuionistic Fuzzy Metric Space", International Journal of Modern Education and Computer Science (IJMECS), vol.4, no.5, pp.25-30, 2012. DOI:10.5815/ijmecs.2012.05.04

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