Department of Mathematics, Xidian University, Xi'an 710071, China
Abstract
In this paper, we first present a new important property for Bouligand tangent cone (contingent cone) of a star-shaped set. We then establish optimality conditions for Pareto minima and proper ideal efficiencies in nonsmooth vector optimization problems by means of Bouligand tangent cone of image set, where the objective is generalized cone convex set-valued map, in general real normed spaces.
Chai, Y. F., & Liu, S. Y. (2015). Optimality conditions for Pareto efficiency and proper ideal point in set-valued nonsmooth vector optimization using contingent cone. Bulletin of the Iranian Mathematical Society, 41(3), 759-770.
MLA
Y. F. Chai; S. Y. Liu. "Optimality conditions for Pareto efficiency and proper ideal point in set-valued nonsmooth vector optimization using contingent cone". Bulletin of the Iranian Mathematical Society, 41, 3, 2015, 759-770.
HARVARD
Chai, Y. F., Liu, S. Y. (2015). 'Optimality conditions for Pareto efficiency and proper ideal point in set-valued nonsmooth vector optimization using contingent cone', Bulletin of the Iranian Mathematical Society, 41(3), pp. 759-770.
VANCOUVER
Chai, Y. F., Liu, S. Y. Optimality conditions for Pareto efficiency and proper ideal point in set-valued nonsmooth vector optimization using contingent cone. Bulletin of the Iranian Mathematical Society, 2015; 41(3): 759-770.
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