Duality theorems for nondifferentiable semi-infinite interval-valued optimization problems with vanishing constraints

Abstract

Abstract In this paper, we study the duality theorems of a nondifferentiable semi-infinite interval-valued optimization problem with vanishing constraints (IOPVC). By constructing the Wolfe and Mond–Weir type dual models, we give the weak duality, strong duality, converse duality, restricted converse duality, and strict converse duality theorems between IOPVC and its corresponding dual models under the assumptions of generalized convexity.

Keywords

• Locally Lipschitz function
• Nondifferentiable semi-infinite interval-valued optimization problems
• Vanishing constraints
• Wolfe type dual
• Mond–Weir type dual