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DOI: 10.23952/cot.2024.15
Received June 1, 2023; Accepted September 16, 2023; Published online January 11, 2024
Abstract. This paper considers the nonsmooth fractional semi-infinite programming problems with vanishing constraints. Using Clarke subdifferentials, we first obtain both necessary and sufficient Karush-Kuhn-Tucker optimality conditions for nonsmooth fractional semi-infinite programming problems with vanishing constraints. Then, the duality relations of types of Lagrange dual problems and saddle point optimality criteria are explored under generalized convexity assumptions.
How to Cite this Article:
L.T. Tung, Optimality conditions and Lagrange duality for nonsmooth fractional semi-infinite programming with vanishing constraints, Commun. Optim. Theory 2024 (2024) 15.