Duality of control problems in general Banach spaces

Pramoda Kumar Behera, Saroj Kumar Padhan and Chandal Nahak

International Journal of Operational Research, 2021, vol. 42, issue 3, 358-370

Abstract: Control problems have been given a special attention to the theory of optimisation, which is concerned with problems involving infinite dimensional cases. Control problems along with various types of their duals are described in general Banach spaces. Under convexity assumptions on functionals, several duality (weak, strong and converse) results are established between control primal and the corresponding Mangasarian type dual problem. Again, the Mond-Weir type duality model is constructed to weaken the convexity condition to pseudo-convexity and quasi-convexity. Many nontrivial examples are given to support the efficacy of the new findings. It is found that some of earlier results are the special cases of the present investigations.

Keywords: control; problems?; convexity?; Mangasarian; type; duality?; Mond-Weir; type; duality. (search for similar items in EconPapers)
Date: 2021
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