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Superefficiency in Vector Optimization with Nearly Subconvexlike Set-Valued Maps |
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| Authors: | L Y Xia J H Qiu |
| Institution: | (1) Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu, People’s Republic of China;(2) Department of Mathematics, Suzhou University, Suzhou, Jiangsu, People’s Republic of China |
| Abstract: | In the framework of locally convex topological vector spaces, we establish a scalarization theorem, a Lagrange multiplier theorem and duality theorems for superefficiency in vector optimization involving nearly subconvexlike set-valued maps. |
| Keywords: | Nearly subconvexlike set-valued maps Henig proper efficiency Superefficiency Scalarization Lagrangian multiplier theorem Superduality |
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