A Generalized Ky Fan Minimax Inequality on Finite-Dimensional Spaces
该文在有限维空间中针对可能无界区域建立了一个广义不等式存在性结果，证明方法无需单调性假设，并推广了平衡问题、拟平衡问题和不动点问题的若干存在性结果。
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.