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Fixed point theorems in uniformly convex Banach spaces

Authors :
Michael Edelstein
Source :
Proceedings of the American Mathematical Society. 44:369-374
Publication Year :
1974
Publisher :
American Mathematical Society (AMS), 1974.

Abstract

The notion of an asymptotic center is used to prove a number of results concerning the existence of fixed points under certain selfmappings of a closed and bounded convex subset of a uniformly convex Banach space.

Subjects

Subjects :
Convex analysis
Pure mathematics
Applied Mathematics
General Mathematics
Mathematical analysis
Convex set
Banach space
Uniformly convex space
Convex combination
Banach manifold
Krein–Milman theorem
Reflexive space
Mathematics

Details

ISSN :
10886826 and 00029939
Volume :
44
Database :
OpenAIRE
Journal :
Proceedings of the American Mathematical Society
Accession number :
edsair.doi...........04a1c751f69c45c8ec41e168d8eca026
Full Text :
https://doi.org/10.1090/s0002-9939-1974-0358451-4
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