First and Second Order Optimality Conditions Using Approximations for Nonsmooth Vector Optimization in Banach Spaces

P. Q. Khanh and N. D. Tuan
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P. Q. Khanh: International University of Hochiminh City
N. D. Tuan: University of Natural Sciences of Hochiminh City

Journal of Optimization Theory and Applications, 2006, vol. 130, issue 2, No 8, 289-308

Abstract: Abstract We use the first and second order approximations of mappings to establish both necessary and sufficient optimality conditions for unconstrained and constrained nonsmooth vector optimization problems. Ideal solutions, efficient solutions, and weakly efficient solutions are considered. The data of the problems need not even be continuous. Some often imposed compactness assumptions are also relaxed. Examples are provided to compare our results and some known recent results.

Keywords: First and second order approximations; vector optimization; relative p-compactness; asymptotical p-compactness; optimality conditions (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s10957-006-9103-y

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