Nonexpansive Mappings Defined on Unbounded Domains

نویسنده

  • A. KAEWCHAROEN
چکیده

In the study of nonexpansive mappings and fixed point theory the domain of the mapping is usually assumed to be bounded or, as in certain approximation results (see, e.g., [20]), fixed points are assumed to exist. However in [21] Penot used uniform asymptotic concepts which he had earlier introduced in [22] to extend the Browder-Göhde-Kirk theorem to unbounded sets. The term “asymptotic” is used in this context to describe the behavior of the mapping at infinity rather than the behavior of its iterates. Precisely, we have the following.

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تاریخ انتشار 2006