Journal of Applied Nonlinear Dynamics
Penalty Method for NonStationary General Variational Like Inequalities
Journal of Applied Nonlinear Dynamics 10(3) (2021) 369380  DOI:10.5890/JAND.2021.09.002
Salahuddin
Department of Mathematics, Jazan University,
Jazan45142, 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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