Quasi-contractive Mappings in Fuzzy Metric Spaces

Document Type: Research Paper

Authors

1 Department of Mathematics, University of Isfahan, Isfahan, 81745- 163, Iran

2 West University of Timisoara, Faculty of Mathematics and Computer Science, Bv. V. Parvan 4, 300223, Timisoara, Romania

Abstract

We consider the concept of fuzzy quasi-contractions initiated by '{C}iri'{c} in the setting of fuzzy metric spaces and establish fixed point theorems for quasi-contractive mappings and for fuzzy $mathcal{H}$-contractive mappings on M-complete fuzzy metric spaces in the sense of George and Veeramani.The results are illustrated by a representative example.

Keywords


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