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http://dx.doi.org/10.5831/HMJ.2016.38.2.337

FIXED POINT THEOREMS FOR WEAK CONTRACTION IN INTUITIONISTIC FUZZY METRIC SPACE  

Vats, Ramesh Kumar (Department of Mathematics, National Institute of Technology)
Grewal, Manju (Department of Mathematics, National Institute of Technology)
Publication Information
Honam Mathematical Journal / v.38, no.2, 2016 , pp. 337-357 More about this Journal
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 (${\psi},{\alpha},{\beta}$)-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;
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Times Cited By KSCI : 1  (Citation Analysis)
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