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Le Thanh Tung, Karush-Kuhn-Tucker optimality conditions and duality for semi-infinite programming problems with vanishing constraints

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DOI: 10.23952/jnva.4.2020.3.01
Volume 4, Issue 3, 1 December 2020, Pages 319-336

 

Abstract. This paper is concerned with the semi-infinite programming problems with vanishing constraints. Both necessary and sufficient Karush-Kuhn-Tucker optimality conditions for the semi-infinite programming problems with vanishing constraints are established. We also formulate types of Wolfe and Mond-Weir dual problems and explore duality relations under convexity assumptions. Some examples are given to illustrate our results.

 

How to Cite this Article:
Le Thanh Tung, Karush-Kuhn-Tucker optimality conditions and duality for semi-infinite programming problems with vanishing constraints, J. Nonlinear Var. Anal. 4 (2020), 319-336.