Reciprocal Theorems for Multi-Cost Problems with S-Type I Functionals
Savin Treanţă, Valeria Cîrlan, Omar Mutab Alsalami · Mathematics · 2025
In this paper, for the considered multi-cost variational problem (P), we associate a dual model (D) in order to study and state the connections between the solution sets of these control problems. Thus, under S-type I assumptions associated with the integral functionals involved, we formulate and prove various reciprocal results, such as weak, strong, and converse-type dualities.