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Strong convergence results for nonself multimaps in Banach spaces
Author(s):
N.
Shahzad;
H.
Zegeye
Journal:
Proc. Amer. Math. Soc.
136
(2008),
539-548.
MSC (2000):
Primary 47H10, 47H09
Posted:
November 3, 2007
MathSciNet review:
2358494
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Additional information
Abstract:
We prove strong convergence theorems for multimaps under mild conditions, which include Browder's convergence theorem as well as Reich's convergence theorem. We thus provide a partial answer to Jung's question.
References:
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Additional Information:
N.
Shahzad
Affiliation:
Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Email:
nshahzad@kau.edu.sa
H.
Zegeye
Affiliation:
Bahir Dar University, P.O. Box. 859, Bahir Dar, Ethiopia
Email:
habtuzh@yahoo.com
DOI:
10.1090/S0002-9939-07-08884-3
PII:
S 0002-9939(07)08884-3
Keywords:
Nonexpansive multimap,
fixed point,
nonexpansive retract,
Banach limit,
inwardness,
Banach space
Received by editor(s):
June 21, 2006
Received by editor(s) in revised form:
August 25, 2006
Posted:
November 3, 2007
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2007,
American Mathematical Society
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