Volume 4,
Issue 1, 2003
Article
14
ITERATIVE SCHEMES TO SOLVE NONCONVEX VARIATIONAL PROBLEMS
1MESSAOUD
BOUNKHEL,
2LOTFI TADJ AND
1ABDELOUAHED HAMDI
1COLLEGE OF
SCIENCE,
DEPARTMENT OF MATHEMATICS,
P.O. BOX 2455, RIYADH 11451,
SAUDI ARABIA.
E-Mail: bounkhel@ksu.edu.sa
2COLLEGE OF SCIENCE,
DEPARTMENT OF STATISTICS AND OPERATIONS RESEARCH,
P.O. BOX 2455, RIYADH 11451,
SAUDI ARABIA.
Received 30 May, 2002; Accepted 19 December, 2002.
Communicated by: A.M. Rubinov
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ABSTRACT.
In this paper, we present several algorithms of the projection type to solve
a class of nonconvex variational problems.
Key words:
Prox-regularity, Normal cone, Variational inequality.
2000 Mathematics Subject
Classification:
58E35, 49J53, 49J52.
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