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

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Abstract

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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Acknowledgements

The authors would like to thank two anonymous referees for their valuable remarks and suggestions that helped us significantly improve the paper. This study was funded by Vietnam National University Hochiminh City (VNU HCMC) under grant number C2021-26-01.

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Correspondence to Ha Manh Linh.

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Anh, L.Q., Linh, H.M. & Tam, T.N. Semicontinuity of Solutions and Well-Posedness Under Perturbations for Equilibrium Problems with Nonlinear Inequality Constraints. Bull Braz Math Soc, New Series 53, 751–763 (2022). https://doi.org/10.1007/s00574-021-00281-6

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  • DOI: https://doi.org/10.1007/s00574-021-00281-6

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