The Structure of Fixed Points Set of a Type of Generalized Nonexpansive Mappings in Convex Metric Spaces

Mohammad Moosaei

Abstract


In this paper, we show that the fixed points set of self-mappings satisfying condition (C) on a nonempty convex subset of a convex metric space having property (D) is always closed and convex. Moreover, we prove that the fixed points set of such mappings on a nonempty bounded closed convex subset of a uniformly convex complete metric space is always nonempty, closed and convex. Our results improve and extend some results in the literature.


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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|