A Generalized Ky Fan Minimax Inequality on Finite-Dimensional Spaces

Marco Castellani and Massimiliano Giuli ()
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Marco Castellani: Department of Information Engineering, Computer Science and Mathematics
Massimiliano Giuli: Department of Information Engineering, Computer Science and Mathematics

Journal of Optimization Theory and Applications, 2021, vol. 190, issue 2, No 1, 343-357

Abstract: Abstract An existence result for a generalized inequality over a possible unbounded domain in a finite-dimensional space is established. The proof technique allows to avoid any monotonicity assumption. We adapt a weak coercivity condition introduced in Castellani and Giuli (J Glob Optim 75:163–176, 2019) for a generalized game which extends an older one proposed by Konnov and Dyabilkin (J Glob Optim 49:575–577, 2011) for equilibrium problems. Our main result encompasses and generalizes several existence results for equilibrium, quasiequilibrium and fixed-point problems.

Keywords: Quasiequilibrium problem; Ky Fan minimax inequality; Fixed point; Coercivity condition; 47J20; 49J35; 49J40; 90C30 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10957-021-01903-1

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