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A fixed point theorem for multi-valued weakly Picard operators in b-metric space

Olatinwo M.

Demonstratio Mathematica

2009

Vol. 42, nr 3

599-606

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.