Optimality Conditions and Duality for a Class of Generalized Convex Interval-Valued Optimization Problems

Abstract

This paper is devoted to derive optimality conditions and duality theorems for interval-valued optimization problems based on gH-symmetrically derivative. Further, the concepts of symmetric pseudo-convexity and symmetric quasi-convexity for interval-valued functions are proposed to extend above optimization conditions. Examples are also presented to illustrate corresponding results.

Keywords

• gH-symmetrically derivative
• optimality conditions
• wolfe duality
• symmetric pseudo-convexity
• symmetric quasi-convexity