Degree Theory and Solution Existence of Set-Valued Vector Variational Inequalities in Reflexive Banach Spaces
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DOI: 10.1007/s10957-015-0731-y
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- Kien, B.T. & Wong, M.-M. & Wong, N.C. & Yao, J.C., 2009. "Degree theory for generalized variational inequalities and applications," European Journal of Operational Research, Elsevier, vol. 192(3), pages 730-736, February.
- X. X. Huang & Y. P. Fang & X. Q. Yang, 2014. "Characterizing the Nonemptiness and Compactness of the Solution Set of a Vector Variational Inequality by Scalarization," Journal of Optimization Theory and Applications, Springer, vol. 162(2), pages 548-558, August.
- Zhong Wang & Nan Huang, 2011. "Degree theory for a generalized set-valued variational inequality with an application in Banach spaces," Journal of Global Optimization, Springer, vol. 49(2), pages 343-357, February.
- G. Isac & V. V. Kalashnikov, 2001. "Exceptional Family of Elements, Leray–Schauder Alternative, Pseudomonotone Operators and Complementarity," Journal of Optimization Theory and Applications, Springer, vol. 109(1), pages 69-83, April.
- K. L. Lin & D. P. Yang & J. C. Yao, 1997. "Generalized Vector Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 92(1), pages 117-125, January.
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- Zhong-bao Wang & Yi-bin Xiao & Zhang-you Chen, 2020. "Degree Theory for Generalized Mixed Quasi-variational Inequalities and Its Applications," Journal of Optimization Theory and Applications, Springer, vol. 187(1), pages 43-64, October.
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Keywords
Set-valued vector variational inequality; Topological degree; Existence of solutions; Nonempty and boundedness; $$C$$ C -pseudomonotone mapping;All these keywords.
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