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Volume 1, Issue 3, 31 December 2019, Pages 277-291
Abstract. In this paper, we consider set optimization problems with mixed constraints. We first investigate necessary and sufficient Karush-Kuhn-Tucker optimality conditions for strict minimal solutions. Then, we formulate types of Mond-Weir and Wolfe dual problems and explore duality relations under convexity assumptions. Some examples are provided to illustrate our results.
How to Cite this Article:
L.T. Tung, T.T. Khai, P.T. Hung, P.L.B. Ngoc, Karush-Kuhn-Tucker optimality conditions and duality for set optimization problems with mixed constraints, J. Appl. Numer. Optim. 1 (2019), 277-291.