FIXED POINTS OF A NEW TYPE OF CONTRACTIVE MAPPINGS IN COMPLETE METRIC SPACES

ABSTRACT

The purpose of this study is to highlight the importance of the "common limit range property" in determining the existence of a common fixed point in fuzzy metric spaces. Several examples are provided to demonstrate the validity of the hypothesis and the utility of our findings. We prove a fixed point theorem for four finite families of self-mappings that may be used to prove general fixed point theorems for any finite number of mappings. We prove an integral-type fixed point theorem in fuzzy metric space as an application to our main result. Our findings augment and extend a slew of previously published findings, including those contained.

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