Higher-order optimality conditions for proper efficiency in nonsmooth vector optimization using radial sets and radial derivatives

Nguyen Hoang Anh () and Phan Khanh ()

Journal of Global Optimization, 2014, vol. 58, issue 4, 693-709

Abstract: We establish both necessary and sufficient optimality conditions of higher orders for various kinds of proper solutions to nonsmooth vector optimization in terms of higher-order radial sets and radial derivatives. These conditions are for global solutions and do not require continuity and convexity assumptions. Examples are provided to show advantages of the results over existing ones in a number of cases. Copyright Springer Science+Business Media New York 2014

Keywords: Higher-order radial sets and derivatives; Calculus rules; $$Q$$ -minimality; Various kinds of proper efficiency; Higher-order optimality conditions; set-valued vector optimization; 90C46; 49J52; 46G05; 90C26; 90C29 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10898-013-0077-7

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