#### Le Thanh Tung, Optimality conditions and duality for E-differentiable semi-infinite programming with multiple interval-valued objective functions under generalized E-convexity, Vol. 2020 (2020), Article ID 21, pp. 1-17

Full TextPDF
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 $E$-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 $E$-differentiable semi-infinite programming with multiple interval-valued objective functions. Then, we propose $E$-Wolfe and $E$-Mond-Weir type duality for the $E$-differentiable semi-infinite programming with multiple interval-valued objective functions, and explore weak and strong duality relations under generalized $E$-convexity.

Le Thanh Tung, Optimality conditions and duality for $E$-differentiable semi-infinite programming with multiple interval-valued objective functions under generalized $E$-convexity, Journal of Nonlinear Functional Analysis, Vol. 2020 (2020), Article ID 21, pp. 1-17.