A Quasi-Optimization Problem for a Family of Functions

Mario Diego Emanuele Giordano () and Monica Milasi ()
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Mario Diego Emanuele Giordano: Universities of Messina, Catania and Palermo
Monica Milasi: University of Messina

Journal of Optimization Theory and Applications, 2026, vol. 208, issue 1, No 45, 19 pages

Abstract: Abstract In this paper, we deal with an optimization problem: finding a common maximum point for a family of objective functions on a set-valued map. We reformulate this problem in terms of a suitable variational problem to establish the existence of a solution. In this variational approach, the notion of quasiconcave family is of central importance. Finally, we apply our study to the Kantian equilibrium.

Keywords: Quasiconcave family; Variational problem; Kantian equilibrium; 49J40; 49J53; 91A35 (search for similar items in EconPapers)
Date: 2026
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DOI: 10.1007/s10957-025-02869-0

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