Weak minimization and duality
作者:
T. Weir,
B. Mond,
B. D. Craven,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1987)
卷期:
Volume 9,
issue 1-2
页码: 181-192
ISSN:0163-0563
年代: 1987
DOI:10.1080/01630568708816230
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
Sufficient and necessary optimality conditions are given for weakly minimized optimization problems in terms of a vector valued Lagrangian. Lagrangian and Wolfe type duals are constructed and duality established using an ordering that accords with the definition of a weak minimum. The results for differentiable problems continue to hold under weakened convexity assumptions and for problems which quasiminimize rather than minimize.
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