A STUDY OF FIXED POINTS FOR FAMILY OF MAPPINGS

Abstract

In this manuscript, we prove a fixed point theorem for a family of contractives elf-mappings in a complete metric space or a complete b-metric space. We generalize the Caristi fixed point theorem, the Meir-Keeler type fixed point theorem, and the result of Pant. In our result, we use a generalization of the Meir-Keeler type contraction map for a family of self-mappings.