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A coercivity condition for nonmonotone quasiequilibria on finite-dimensional spaces

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Abstract

New existence results for quasiequilibrium problems on unbounded feasible sets in a finite-dimensional space and without any assumption of monotonicity are established. The key point behind these results is a weak coercivity condition for a generalized game which extends a recent one proposed in Konnov and Dyabilkin (J Glob Optim 49:575–587, 2011) for equilibrium problems and an older one given in Cubiotti (Comput Math Appl 30:11–22, 1995) for quasiequilibrium problems. Some examples are also given.

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  1. Department of Information Engineering, Computer Science and Mathematics, Università degli Studi dell’Aquila, L’Aquila, Italy

    M. Castellani & M. Giuli

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  1. M. Castellani
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  2. M. Giuli
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Castellani, M., Giuli, M. A coercivity condition for nonmonotone quasiequilibria on finite-dimensional spaces. J Glob Optim 75, 163–176 (2019). https://doi.org/10.1007/s10898-019-00811-z

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