Projected solutions for finite-dimensional quasiequilibrium problems

Marco Castellani, Massimiliano Giuli () and Sara Latini
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Marco Castellani: University of L’Aquila
Massimiliano Giuli: University of L’Aquila
Sara Latini: University of L’Aquila

Computational Management Science, 2023, vol. 20, issue 1, No 9, 14 pages

Abstract: Abstract The concept of projected solution has been introduced in Aussel et al. (J Optim Theory Appl 170:818–837, 2016) for studying quasivariational problems where the constraint map may not be a self-map. Aim of this paper is to establish a new result on the existence of projected solutions for finite-dimensional quasiequilibrium problems without any monotonicity assumptions and without assuming the compactness of the feasible set. These two facts allow us to improve some recent results. Additionally, we deduce the existence of projected solutions for quasivariational inequalities, quasioptimization problems and generalized Nash equilibrium problems. Also, a comparison with similar results is provided.

Keywords: Quasiequilibrium problem; Projected solution; Generalized quasivariational inequality; Generalized Nash equilibrium problem; Quasioptimization problem (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10287-023-00444-4

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