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

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  • Savin Treanţă

    (Department Applied Mathematics, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania
    Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania
    Fundamental Sciences Applied in Engineering Research Center, 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)

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.

Suggested Citation

  • Savin Treanţă & Valeria Cîrlan & Omar Mutab Alsalami, 2025. "Reciprocal Theorems for Multi-Cost Problems with S -Type I Functionals," Mathematics, MDPI, vol. 13(14), pages 1-15, July.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:14:p:2250-:d:1699766
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