Limit vector variational inequality problems via scalarization
We solve a general vector variational inequality problem in a finite—dimensional setting, where only approximation sequences are known instead of exact values of the cost mapping and feasible set. We establish a new equivalence property, which enables us to replace each vector variational inequality...
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| Veröffentlicht in: | Journal of global optimization 2018-11, Vol.72 (3), p.579-590 |
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| container_end_page | 590 |
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| container_title | Journal of global optimization |
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| creator | Bianchi, M. Konnov, I. V. Pini, R. |
| description | We solve a general vector variational inequality problem in a finite—dimensional setting, where only approximation sequences are known instead of exact values of the cost mapping and feasible set. We establish a new equivalence property, which enables us to replace each vector variational inequality with a scalar set-valued variational inequality. Then, we approximate the scalar set-valued variational inequality with a sequence of penalized problems, and we study the convergence of their solutions to solutions of the original one. |
| doi_str_mv | 10.1007/s10898-018-0657-7 |
| format | Article |
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| ispartof | Journal of global optimization, 2018-11, Vol.72 (3), p.579-590 |
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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Computer Science Inequality Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Optimization algorithms Portfolio management Real Functions |
| title | Limit vector variational inequality problems via scalarization |
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