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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Penalty Method for Non-Stationary General Variational Like Inequalities

Journal of Applied Nonlinear Dynamics 10(3) (2021) 369--380 | DOI:10.5890/JAND.2021.09.002

Salahuddin

Department of Mathematics, Jazan University, Jazan-45142, Kingdom of Saudi Arabia

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Abstract

We suggest a general variational like inequalities in an infinite dimensional space, where only approximation sequences are known instead of an exact value of the cost mapping and feasible set, and to apply a sequence of inexact solutions of auxiliary problems involving general penalty functions. Its convergence is attained without concordance of penalty, accuracy, and approximation parameters under certain coercivity type assumptions.

Acknowledgments

The author thanks the anonymous referees for their careful reading and insightful suggestions.

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