Fixed point theorem for a generalized contractive fuzzy mapping

Authors:
Mujahid Abbas;Duran Turkoglu
Affiliations:
Department of Mathematics, Lahore University of Management Sciences, Lahore, Pakistan;Department of Mathematics, Faculty of Science and Arts, University of Gazi, Teknikokullar, Ankara, Turkey and Department of Mathematics, Faculty of Science and Arts, University of Amasya, Amasya, ...
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

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Abstract

Existence of a fixed point for a fuzzy mapping satisfying a generalized contractive condition is proved. Our result, supported with an example, provide extension as well as substantial improvements of several well known results in the existing literature.