• SOME FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS IN GENERALIZED B-METRIC SPACES

Abstract

The aim of this paper is two fold, first we define the concept of generalized b-metric spaces and then we prove the existence of fixed points for multivalued contraction mappings in generalized b-metric spaces using Picard iteration and also Jungck iteration. Our results extend, improve and unify a multitude of classical results in fixed point theory of single and multivalued contraction mappings. We obtain more general results than those of Nadler[23],Berinde and Berinde[10], M.O. Olatinwo and C.O. Imoru[24] and Daffer and Kaneko[16].