Common New Fixed Point Theorem in Modified Intuitionistic Fuzzy Metric Spaces Using Implicit Relation

Saurabh Manro, Sumitra  

Department of Mathematics, Faculty of Science, Jazan University, Jazan, KSA.
School of Mathematics and Computer Applications, Thapar University, Patiala, India.

DOI: 10.4236/am.2013.49A005                

Abstract

In this paper, we prove some common fixed point theorems for two pair of compatible and subsequentially continuous mappings satisfying an implicit relation in Modified Intuitionistic fuzzy metric spaces. Consequently, our results improve and sharpen many known common fixed point theorems available in the existing literature of metric fixed point theory.

Keywords

Modified Intuitionistic Fuzzy Metric Space; Compatible Mappings; Subcompatible Mappings;Subsequential Continuous Mappings; Reciprocal Continuity; Implicit Relation

Conflicts of Interest

The authors declare no conflicts of interest.

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