FIXED POINT THEOREMS FOR WEAK CONTRACTION IN INTUITIONISTIC FUZZY METRIC SPACE

• Journal title : Honam Mathematical Journal
• Volume 38, Issue 2,  2016, pp.337-357
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2016.38.2.337
Title & Authors
FIXED POINT THEOREMS FOR WEAK CONTRACTION IN INTUITIONISTIC FUZZY METRIC SPACE
Vats, Ramesh Kumar; Grewal, Manju;

Abstract
The notion of weak contraction in intuitionistic fuzzy metric space is well known and its study is well entrenched in the literature. This paper introduces the notion of ($\small{{\psi},{\alpha},{\beta}}$)-weak contraction in intuitionistic fuzzy metric space. In this contrast, we prove certain coincidence point results in partially ordered intuitionistic fuzzy metric spaces for functions which satisfy a certain inequality involving three control functions. In the course of investigation, we found that by imposing some additional conditions on the mappings, coincidence point turns out to be a fixed point. Moreover, we establish a theorem as an application of our results.
Keywords
common fixed point;fuzzy metric space;control function;weak contraction;
Language
English
Cited by
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