A coupled fixed point theorem in fuzzy metric space satisfying φ-contractive condition

Authors:
B. D. Pant;Sunny Chauhan;Jelena Vujaković;Muhammad Alamgir Khan;Calogero Vetro
Affiliations:
Government Degree College, Champawat, Uttarakhand, India;R. H. Government Postgraduate College, Kashipur, Uttarakhand, India;Faculty of Sciences and Mathematics, Serbia;Department of Natural Resources Engineering and Management, University of Kurdistan, Erbil, Iraq;Università degli Studi di Palermo, Dipartimento di Matematica e Informatica, Palermo, Italy
Venue:
Advances in Fuzzy Systems - Special issue on Fuzzy Functions, Relations, and Fuzzy Transforms 2013
Year:
2013

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Abstract

The intent of this paper is to prove a coupled fixed point theorem for two pairs of compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings, satisfying φ-contractive conditions in a fuzzy metric space. We also furnish some illustrative examples to support our results.