Optimality and duality in vector optimization involving generalized type I functions over cones |
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| Authors: | S K Suneja Seema Khurana Meetu Bhatia |
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| Institution: | (1) Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang, 212003, China;(2) Department of Applied Mathematics, Dalian University of Technology, Dalian, China |
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| Abstract: | In this paper generalized type-I, generalized quasi type-I, generalized pseudo type-I and other related functions over cones
are defined for a vector minimization problem. Sufficient optimality conditions are studied for this problem using Clarke’s
generalized gradients. A Mond-Weir type dual is formulated and weak and strong duality results are established. |
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