Reciprocal Theorems for Multi-Cost Problems with S -Type I Functionals

Savin Treanţă (), Valeria Cîrlan and Omar Mutab Alsalami
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Savin Treanţă: Department Applied Mathematics, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania
Valeria Cîrlan: Department Applied Mathematics, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania
Omar Mutab Alsalami: Department of Electrical Engineering, College of Engineering, Taif University, Taif 21944, Saudi Arabia

Mathematics, 2025, vol. 13, issue 14, 1-15

Abstract: 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.

Keywords: duality theorems; multi-cost models; S -type I functionals (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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