Fixed point theorems for mappings of nonexpansive type

Author:
Teck-Cheong Lim

Journal:
Proc. Amer. Math. Soc. **66** (1977), 69-74

MSC:
Primary 47H10

MathSciNet review:
0473935

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Abstract: Constructive fixed point theorems for single-valued and compact-valued nonexpansive mappings, which map a closed convex subset *C* of a Banach space *X* into *X* and send the boundary of *C* relative to *X* into *C*, are given. Mappings for which the method of asymptotic center applies are also considered.

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1977-0473935-9

Article copyright:
© Copyright 1977
American Mathematical Society