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1987•International Journal of Mathematics and Mathematical SciencesOpen access

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

Hideaki Kaneko, Salvatore Sessa

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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.

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What this paper is about

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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Available 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.

Key concepts: Mathematics, Compatibility (geochemistry), Fixed-point theorem, Coincidence point, Fixed point, Discrete mathematics, Single point, Point (geometry)

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