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DOI: 10.23952/jnfa.2020.21
Received April 12, 2020; Accepted May 19, 2020; Published June 1, 2020
Abstract. In this paper, optimality conditions and duality for -differentiable semi-infinite programming with multiple interval-valued objective functions are investigated. We first establish Karush-Kuhn-Tucker necessary and sufficient optimality conditions for some types of efficient solutions of -differentiable semi-infinite programming with multiple interval-valued objective functions. Then, we propose -Wolfe and -Mond-Weir type duality for the -differentiable semi-infinite programming with multiple interval-valued objective functions, and explore weak and strong duality relations under generalized -convexity.
How to Cite this Article:
Le Thanh Tung, Optimality conditions and duality for -differentiable semi-infinite programming with multiple interval-valued objective functions under generalized -convexity, Journal of Nonlinear Functional Analysis, Vol. 2020 (2020), Article ID 21, pp. 1-17.