Weak Sharp Type Solutions for Some Variational Integral Inequalities

Author:

Treanţă Savin123ORCID,Saeed Tareq4ORCID

Affiliation:

1. Faculty of Applied Sciences, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania

2. Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania

3. Fundamental Sciences Applied in Engineering-Research Center, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania

4. Financial Mathematics and Actuarial Science (FMAS)-Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Abstract

Weak sharp type solutions are analyzed for a variational integral inequality defined by a convex functional of the multiple integral type. A connection with the sufficiency property associated with the minimum principle is formulated, as well. Also, an illustrative numerical application is provided.

Publisher

MDPI AG

Reference28 articles.

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3. Weak sharp solutions of variational inequalities;Marcotte;SIAM J. Optim.,1998

4. Weak sharp solutions for variational inequalities in Banach spaces;Hu;J. Math. Anal. Appl.,2011

5. Characterization of weakly sharp solutions of a variational inequality by its primal gap function;Liu;Optim. Lett.,2016

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