Semicontinuity of Solutions and Well-Posedness Under Perturbations for Equilibrium Problems with Nonlinear Inequality Constraints

Semicontinuity of Solutions and Well-Posedness Under Perturbations for Equilibrium Problems with Nonlinear Inequality Constraints

In this paper, we first study several properties of nonlinear inequality constraints. These properties are employed to investigate the semicontinuity of solution maps as well as well-posedness under perturbations to equilibrium problems with nonlinear inequality constraints.

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Veröffentlicht in:Boletim da Sociedade Brasileira de Matemática 2022-09, Vol.53 (3), p.751-763
Hauptverfasser: Anh, Lam Quoc, Linh, Ha Manh, Tam, Tran Ngoc
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Perturbation
Theoretical
Well posed problems
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Zusammenfassung:In this paper, we first study several properties of nonlinear inequality constraints. These properties are employed to investigate the semicontinuity of solution maps as well as well-posedness under perturbations to equilibrium problems with nonlinear inequality constraints.
ISSN:1678-7544
1678-7714
DOI:10.1007/s00574-021-00281-6