4.2 Article

Existence results for quasi-equilibrium problems under a weaker equilibrium condition

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OPERATIONS RESEARCH LETTERS
卷 49, 期 3, 页码 333-337

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ELSEVIER
DOI: 10.1016/j.orl.2021.02.005

关键词

Quasi-equilibrium; Fixed point; Coercivity condition; Convex cone

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The paper discusses existence results for scalar and vector quasi-equilibrium problems, where the constraint set depends on the current point. It establishes these results by replacing the standard equilibrium condition with a weaker one.
By a quasi-equilibrium problem is understood an equilibrium problem with a constraint set depending on the current point. In this paper, we establish existence results for scalar and vector quasi-equilibrium problems, when the standard equilibrium condition is replaced by a weaker one. (C) 2021 Elsevier B.V. All rights reserved.

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