Skip to content

Xingyuan Peng, Shengkun Zhu, Image space analysis to lagrange duality in nonconvex set optimization

Full Text: PDF
DOI: 10.23952/jnva.9.2025.5.08

Volume 9, Issue 5, 1 October 2025, Pages 781-795

 

Abstract. The main purpose of this paper is to study the Lagrange duality for a nonconvex constrained set optimization problem by virtue of the image space analysis. We consider a set optimization formulation for the dual problem by means of the upper quasi-ordering among sets, and we propose the quasi-interior, the quasi-relative interior, and the linear image regularity conditions to establish the strong duality between the primal problem and dual problem from the analysis in the image space.

 

How to Cite this Article:
X. Peng, S. Zhu, Image space analysis to lagrange duality in nonconvex set optimization, J. Nonlinear Var. Anal. 9 (2025), 781-795.