SUFFICIENT OPTIMALITY CONDITIONS AND DUALITY IN MULTIOBJECTIVE OPTIMIZATION INVOLVING GENERALIZED CONVEXITY

Authors :: Brahim Aghezzaf
M. Hachimi
Source :: Numerical Functional Analysis and Optimization. 22:775-788
Publication Year :: 2001
Publisher :: Informa UK Limited, 2001.
Abstract: We are concerned with nonlinear multiobjective programming problem with inequality constraints. We introduce some classes of nonconvex functions by relaxing the definitions of invex and preinvex functions. Examples are given to shows relationship between them. Various first and second order sufficient optimality theorems are obtained. Moreover, we prove duality and converse duality results for Mond-Weir type dual.

Subjects :: Mathematical optimization
Control and Optimization
Duality gap
Duality (optimization)
Multi-objective optimization
Weak duality
Convexity
Computer Science Applications
Signal Processing
Converse
Strong duality
Wolfe duality
Analysis
Mathematics

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