Fixed point theorems for compatible multi-valued and
single-valued mappings
Hideaki Kaneko1and Salvatore Sessa2
Received01 Jul 1987
Revised01 Oct 1987
Abstract
The notion of compatibility for point-to-point mappings recently defined by
Jungck is generalized to include multi-valued mappings. This idea is used to establish a fixed
point theorem for a generalized contractive multi-valued mapping and a single-valued mapping.
