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


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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