Fixed Point Theorems for Multipoint Chatterjea-Type Mappings

Abstract

In this paper, we give a four point and a multipoint generalizations of the Chatterjea type mappings. Such mappings are repectively based on the mappings of four or n points of the space instead of two or three. We compare these mappings with some contractive type mappings in the literature. We prove several novel fixed point theorems supported by auxiliary lemmas and propositions in metric spaces for these mappings. Moreover, an illustrative example concerning the four-point Chatterjea type mappings is provided.