Fixed point theorems for compatible multi-valued and single-valued mappings

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.

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Bibliographic Details
Main Authors: Hideaki Kaneko, Salvatore Sessa
Format: Article
Language:English
Published: Wiley 1989-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171289000293
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Summary: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.
ISSN:0161-1712
1687-0425