Fixed Point Theorem in Fuzzy Metric Spaces Satisfying E.A Property

Vishal Gupta; Ashima Kanwar

doi:10.17485/ijst/2012/v5i12.14

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Fixed Point Theorem in Fuzzy Metric Spaces Satisfying E.A Property

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2012/v5i12.14

Year: 2012, Volume: 5, Issue: 12, Pages: 1-3

Original Article

Fixed Point Theorem in Fuzzy Metric Spaces Satisfying E.A Property

^{1 *}Vishal Gupta, ² Ashima Kanwar

^{1 *}Assistant Professor, Department of Mathematics,
²Research Scholar, Department of Mathematics, Maharishi Markandeshwar University,
^{1 *}[email protected], , ²[email protected]
*Author for correspondence
Vishal Gupta
Department of Mathematics
Email:[email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

The present paper is an attempt to prove common fixed point theorem for six mappings in fuzzy metric spaces. Our main result extends and improves the strict contractive conditions on fuzzy metric spaces and establishes the existence of common fixed points for six mappings under general contractive condition of integral type by using E.A property. The concept of weak compatible mappings is also used to prove the desired result.
Keywords: E.A property, weakly compatible map, contractive condition