A FIXED POINT THEOREM FOR MULTI-VALUED WEAKLY PICARD OPERATORS IN b-METRIC SPACE

Abstract

In this paper, we establish a fixed point theorem for multi-valued operators in a complete b−metric space using the concept of Berinde and Berinde [9] on multi-valued weak contractions for the Picard iteration in a metric space. Our main result generalizes, extends and improves some of the recent results of Berinde and Berinde [9] as well as those of Daffer and Kaneko [17] and also unifies several classical results pertainning to single and multi-valued contractive mappings in the literature. AMS Mathematics Subject Classification: 47H06, 47H10.