Abstract

In this paper, we prove a coupled coincidence point theorem in partially ordered fuzzy metric space using Ï•-contractive condition.

Highlights

  • After Zadeh [8] introduced the concept of fuzzy sets in 1965, many authors have extensively developed the theory of fuzzy sets and its applications

  • Fuzzy metric spaces were introduced by Deng [2], Erceg [3], Kaleva and Seikkala [5], Kramosil and Michalek [6]

  • In this paper we use the concept of fuzzy metric space introduced by Kramosil and Michalek [6] and modified by George and Veeramani [4] to obtain Hausdorff topology for this kind of fuzzy metric space

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Summary

Introduction

After Zadeh [8] introduced the concept of fuzzy sets in 1965, many authors have extensively developed the theory of fuzzy sets and its applications. Bhaskar and Lakshmikantham [1] introduced the concept of mixed monotone mapping and coupled fixed point in complete metric space.

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