Fixed point results for multi-valued non-expansive mappings on an unbounded set.

Abbas, M.; Cho, Y.J.

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In this paper a new class of mappings, known as locally $λ$ -strongly $φ$ -accretive mappings, where $λ$ and $φ$ have special meanings, is introduced. This class of mappings constitutes a generalization of the well-known monotone mappings, accretive mappings and strongly $φ$ -accretive mappings. Subsequently, the above notion is used to extend the results of Park and Park, Browder and Ray to locally $λ$ -strongly $φ$ -accretive mappings by using Caristi-Kirk fixed point theorem. In the sequel, we introduce...

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