Error bounds for strongly monotone and Lipschitz continuous variational inequalities

被引：0
作者：
Khanh Duy Pham
Nhut Minh Bui
机构：
[1] Ton Duc Thang University,Division of Computational Mathematics and Engineering, Institute for Computational Science
[2] Ton Duc Thang University,Faculty of Mathematics and Statistics
[3] University of British Columbia,Department of Mathematics
来源：
Optimization Letters | 2018年 / 12卷
关键词：
Variational inequality; Strong monotonicity; Lipschitz continuity; Calmness; Lower error bound; Upper error bound; Univariate case;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Our aim is to establish lower and upper error bounds for strongly monotone variational inequalities satisfying the Lipschitz continuity. In univariate case, the latter is not needed for getting an upper error bound and a lower error bound is proved by solely using the Lipschitz continuity.
引用
收藏
页码：971 / 984
页数：13
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  • [1] Aussel D(2013)Gap functions and error bounds for inverse quasi-variational inequality problems J. Math. Anal. Appl. 407 270-280
  • [2] Gupta R(2012)Gap functions and error bounds for quasi-variational inequalities J. Glob. Optim. 53 737-748
  • [3] Mehra A(1990)Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications Math. Program. 48 161-220
  • [4] Gupta R(2005)Equivalent optimization formulations and error bounds for variational inequality problems J. Optim. Theory Appl. 125 299-314
  • [5] Mehra A(2016)Qualitative properties of strongly pseudomonotone variational inequalities Optim. Lett. 10 1669-1679
  • [6] Harker PT(2010)Error bound results for generalized D-gap functions of nonsmooth variational inequality problems J. Comput. Appl. Math. 233 2795-2806
  • [7] Pang J-S(1987)A posteriori error bounds for the linearly-constrained variational inequality problem Math. Oper. Res. 12 474-484
  • [8] Huang LR(2003)Merit functions and error bounds for generalized variational inequalities J. Math. Anal. Appl. 287 405-414
  • [9] Ng KF(2007)Global bounds for the distance to solutions of co-coercive variational inequalities Oper. Res. Lett. 35 409-415
  • [10] Kim DS(undefined)undefined undefined undefined undefined-undefined
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