GENERALIZED NADLER-TYPE COINCIDENCE POINT THEOREMS FOR α-COMPATIBLE MULTI-VALUED CONTRACTIVE MAPPINGS.

In this paper, the coincidence point problem of Nadler type is treated for two mappings (one single-valued and one multi-valued) in a metric space. A generalized (α; θ; f)-contractive condition is assumed, together with α-completeness of the space, α-continuity of the multi-valued mapping and α-compatibility of the two mappings. The results are applied to metric spaces endowed with a graph or with a binary relation. [ABSTRACT FROM AUTHOR]