Karush-Kuhn-Tucker optimality conditions and duality for a semi-infinite programming with multiple interval-valued objective functions

Journal of Nonlinear Functional Analysis · 2019

This paper deals with a semi-infinite programming with multiple interval-valued objective functions.We first investigate necessary and sufficient Karush-Kuhn-Tucker optimality conditions for some types of optimal 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.

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