Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems

الملخص EN

The concepts of preinvex and invex are extended to the interval-valued functions.

Under the assumption of invexity, the Karush-Kuhn-Tucker optimality sufficient and necessary conditions for interval-valued nonlinear programming problems are derived.

Based on the concepts of having no duality gap in weak and strong sense, the Wolfe duality theorems for the invex interval-valued nonlinear programming problems are proposed in this paper.