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Partitionable Mixed Variational Inequalities

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Variational Analysis and Applications

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 79))

Abstract

Two recent papers [1] and [2] have presented existence and uniqueness results for solutions of mixed variational inequality problems involving P-mappings and convex and separable but not necessarily differentiable functions where the feasible set is defined by box type constraints. In this paper we generalise these results for the case where the subspaces constituting the initial space are not real lines.

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References

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Allevi, E., Gnudi, A., Konnov, I.V., Mazurkevich, E.O. (2005). Partitionable Mixed Variational Inequalities. In: Giannessi, F., Maugeri, A. (eds) Variational Analysis and Applications. Nonconvex Optimization and Its Applications, vol 79. Springer, Boston, MA. https://doi.org/10.1007/0-387-24276-7_10

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