First and Second-Order Approximations as Derivatives of Mappings in Optimality Conditions for Nonsmooth Vector Optimization

Journal Article · Wed Oct 15 00:00:00 EDT 2008 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-008-9049-6· OSTI ID:21241965

Phan Quoc Khanh ^[1]; Nguyen Dinh Tuan ^[2]

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1. International University of Hochiminh City, Department of Mathematics (Viet Nam), E-mail: [e-mail]
2. University of Natural Sciences of Hochiminh City, Department of Mathematics (Viet Nam), E-mail: [e-mail]

First and second-order approximations are used to establish both necessary and sufficient optimality conditions for local weak efficiency and local firm efficiency in nonsmooth set-constrained vector problems. Even continuity and relaxed convexity assumptions are not imposed. Compactness conditions are also relaxed. Examples are provided to show advantages of the presented results over recent existing ones.

• OSTI ID: 21241965
• Journal Information: Applied Mathematics and Optimization, Vol. 58, Issue 2; Other Information: DOI: 10.1007/s00245-008-9049-6; Copyright (c) 2008 Springer Science+Business Media, LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
APPROXIMATIONS
MAPPING
OPTIMIZATION
VECTORS