Weakly Picard pairs of multifunctions

Abstract

The purpose of this paper is to present a general answer for the following problem: Let (X, d) be a metric space and T₁, T₂ : X → P(X) two multifunctions. Determine the metric conditions which imply that (T₁, T₂) is a weakly Picard pair of multifunctions and T₁, T₂ are weakly Picard multifunctions , for multifunctions satisfying an implicit contractive condition, generalizing some results from [6] and [7].