Abstract
We consider a convex vectorial control approximation problem and derive necessary and sufficient optimality conditions for solutions of a corresponding scalarized problem using the subdifferential calculus. These optimality conditions can be solved by a proximal point algorithm introduced in [3]. This fact together with some stability results form the base of a dialogue algorithm to generate approximate solutions of the vectorial problem.
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Benker, H., Hamel, A., Tammer, C. (1997). An Algorithm for Vectorial Control Approximation Problems. In: Fandel, G., Gal, T. (eds) Multiple Criteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59132-7_1
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DOI: https://doi.org/10.1007/978-3-642-59132-7_1
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