A Fixed Point Theorem for Weakly Contractive Mappings

Abstract

In this paper, we generalize the concepts of weakly Kannan, weakly Chatterjea and weakly Zamfirescu for fuzzy metric spaces. Also, we investigate Banach's fixed point theorem for the mentioned classes of functions in these spaces. Moreover, we show that the class of weakly Kannan and weakly Chatterjea maps are subclasses of the class of weakly Zamfirescu maps.

Keywords

• fixed point
• weakly zamfirescu mappings
• weakly kannan mappings
• weakly chatterjea mappings
• weakly contractive mappings