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Decomposable Generalized Vector Variational Inequalities

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Optimization and Control with Applications

Part of the book series: Applied Optimization ((APOP,volume 96))

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Abstract

In this paper, we consider vector variational inequalities with set-valued mappings over product sets in a real linear topological space setting. By employing concepts of relative pseudomonotonicity with variable weights, we establish several existence results for generalized vector variational inequalities and for systems of generalized vector variational inequalities. These results strengthen previous existence results which were based on the usual monotonicity type assumptions.

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Allevi, E., Gnudi, A., Konnov, I.V. (2005). Decomposable Generalized Vector Variational Inequalities. In: Qi, L., Teo, K., Yang, X. (eds) Optimization and Control with Applications. Applied Optimization, vol 96. Springer, Boston, MA. https://doi.org/10.1007/0-387-24255-4_24

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