A Class of Differential Vector Variational Inequalities in Finite Dimensional Spaces

Xing Wang and Nan-jing Huang ()
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Xing Wang: Sichuan University
Nan-jing Huang: Sichuan University

Journal of Optimization Theory and Applications, 2014, vol. 162, issue 2, No 16, 633-648

Abstract: Abstract In this paper, we introduce and study a class of differential vector variational inequalities in finite dimensional Euclidean spaces. We establish a relationship between differential vector variational inequalities and differential scalar variational inequalities. Under various conditions, we obtain the existence and linear growth of solutions to the scalar variational inequalities. In particular we prove existence theorems for Carathéodory weak solutions of the differential vector variational inequalities. Furthermore, we give a convergence result on Euler time-dependent procedure for solving the initial-value differential vector variational inequalities.

Keywords: Differential vector variational inequality; Carathéodory weak solution; Existence; Linear growth; Euler time-stepping procedure (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10957-013-0311-y

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