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Note on the topological degree of the subdifferential of a lower semi-continuous convex function
Author(s):
Sergiu
Aizicovici;
Yuqing
Chen
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2905-2908.
MSC (1991):
Primary 47H10, 47H15;
Secondary 55M25
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Abstract:
The purpose of the present paper is to prove that the topological degree of the subdifferential of a coercive lower semi-continuous function on a sufficiently large ball in a reflexive Banach space is equal to one.
References:
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Additional Information:
Sergiu
Aizicovici
Affiliation:
Department of Mathematics, Ohio University, Athens, Ohio 45701-2979
Email:
aizicovi@bing.math.ohiou.edu
Yuqing
Chen
Affiliation:
Department of Mathematics, Ohio University, Athens, Ohio 45701-2979
Email:
yuqchen@bing.math.ohiou.edu
DOI:
10.1090/S0002-9939-98-04529-8
PII:
S 0002-9939(98)04529-8
Keywords:
Monotone operator,
class $(S_+)$,
topological degree
Received by editor(s):
February 25, 1997
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1998,
American Mathematical Society
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