Savin Treanță, Marilena Ciontescu, Vivek Laha, Fangfang Shi
Dedicated to the memory of Professor Haim Brezis
Abstract. This paper investigates the efficiency conditions and a dual model for a non-convex multi-cost minimization problem. Taking into ac count 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.
Keywords: (χ, ϱ)-invexity, non-convex multi-cost extremization problem, efficiency criteria, dual model.
MSC: 65K10, 90C25, 90C29.
DOI 10.56082/annalsarscimath.2025.1.67
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics on Its Application, Volume 17 no 1, 2025
