Generalized weakly contractive multivalued mappings and common fixed points

Abstract

In this paper we introduce the concept of generalized weakly contractiveness for a pair of multivalued mappings in a metric space. We then prove the existence of a common fixed point for such mappings in a complete metric space. Our result generalizes the corresponding results for single valued mappings proved by Zhang and Song (14), as well as those proved by D. Doric (4).