Abstract
In this paper, under several hypotheses and using a dual gap functional, weak sharp solutions are studied for a multidimensional variational-type inequality governed by \((\rho , \mathbf {b}, \mathbf {d})\)-convex multiple integral functional. Moreover, a relation between the minimum principle sufficiency property and weak sharpness of solutions for the considered multidimensional variational-type inequality is established.
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Treanţă, S., Singh, S. Weak sharp solutions associated with a multidimensional variational-type inequality. Positivity 25, 329–351 (2021). https://doi.org/10.1007/s11117-020-00765-7
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DOI: https://doi.org/10.1007/s11117-020-00765-7
Keywords
- Continuous optimization
- Extended multidimensional variational-type inequality
- Weak sharp solution
- \((\rho , \mathbf {b}, \mathbf {d})\)-convex multiple integral functional
- Minimum principle sufficiency property