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Feasibility and Solvability for Vector Complementarity Problems1

Y. P. Fang and N. J. Huang
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Y. P. Fang: Sichuan University
N. J. Huang: Sichuan University

Journal of Optimization Theory and Applications, 2006, vol. 129, issue 3, No 2, 373-390

Abstract: Abstract The purpose of this paper is to discuss the feasibility and solvability of vector complementarity problems. We prove that, under suitable conditions, the vector complementarity problem with a pseudomonotonicity assumption is solvable whenever it is strictly feasible. By strengthening the generalized monotonicity condition, we show also that the homogeneous vector complementarity problem is solvable whenever it is feasible. At last, we study the solvability of the vector complementarity problem on product spaces.

Keywords: Vector complementarity problem; pseudomonotonicity; feasibility; solvability (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10957-006-9073-0

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