CHARACTERIZATION AND EXISTENCE RESULTS OF SOLUTIONS IN NON-CONVEX CONTROLLED MINIMIZATION MODELS

Abstract

This paper investigates the efficiency conditions and a dual model for a non-convex multi-cost minimization problem. Taking into account that the concept of (χ, ϱ)-invexity extends many types of convexity, we study and describe the solution set for this non-convex multi-cost minimization problem under assumptions of (χ, ϱ)-invexity, (χ, ϱ)-pseudoinvexity, or (χ, ϱ)-quasiinvexity for the involved multiple integral functionals. © 2025, Publishing House of the Romanian Academy. All rights reserved.