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Journal of Optimization Theory and Applications, ISSN 0022-3239, 3/2010, Volume 144, Issue 3, pp. 511 - 531
Journal Article
Journal of Global Optimization, ISSN 0925-5001, 8/2012, Volume 53, Issue 4, pp. 737 - 748
The paper aims to obtain new local/global error bounds for quasi variational inequality problems in terms of the regularized gap function and the D-gap function... 
Operations Research/Decision Theory | Error bounds | D-gap function | Computer Science, general | Optimization | Quasi variational inequality problem | Regularized gap function | Economics / Management Science | Real Functions | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Studies
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2016, Volume 2016, Issue 1, pp. 1 - 17
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2009, Volume 354, Issue 2, pp. 575 - 583
By using the regularized gap function for variational inequalities, Li and Peng introduced a new penalty function P α ( x... 
Bounded level set | Exact penalty function | Merit function | Invexity | Unconstrained reformulation | Regularized gap function | Constrained optimization | Strong coerciveness | MATHEMATICS | MATHEMATICS, APPLIED | VARIATIONAL INEQUALITY PROBLEMS | UNCONSTRAINED MINIMIZATION
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 01/2021, Volume 381, p. 113055
...) in fuzzy environment. Then, using the method of the nonlinear scalarization function, the regularized gap functions for GQVIP is established... 
Error bounds | Scalarization | Fuzzy mappings | Regularized gap functions | Strong mixed vector generalized quasi-variational inequality problems
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 06/2015, Volume 260, pp. 71 - 81
In this paper, we obtain some gap functions for generalized mixed quasi variational inequality problems in terms of regularized gap function and D-gap function... 
Residual vector | Error bounds | Strong monotone mapping | D-gap function | Regularized gap function | AUXILIARY PRINCIPLE | MATHEMATICS, APPLIED | MERIT FUNCTIONS | EQUILIBRIUM PROBLEMS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2013, Volume 407, Issue 2, pp. 270 - 280
.... Our aim is to obtain local/global error bounds for inverse quasi-variational inequality problems in terms of different gap functions/merit functions i.e... 
Inverse quasi-variational inequality problem | Error bounds | [formula omitted]-gap function | Regularized gap function | Residual gap function | D-gap function | MATHEMATICS | MATHEMATICS, APPLIED | PROJECTION METHOD | UNCONSTRAINED MINIMIZATION | Equality
Journal Article
Journal of Optimization Theory and Applications, ISSN 0022-3239, 11/2014, Volume 163, Issue 2, pp. 413 - 438
Journal Article
by Li, MH and Chen, CR and Li, SJ
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, ISSN 1547-5816, 05/2020, Volume 16, Issue 3, pp. 1261 - 1272
Journal Article
Journal of inequalities and applications, ISSN 1029-242X, 06/2020, Volume 2020, Issue 1, pp. 1 - 16
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2015, Volume 2015, Issue 1, pp. 1 - 19
In this paper, we define some new notions of gap functions for set-valued mixed quasi-variational inequalities under suitable conditions... 
error bounds | residue vector | Mathematics | 90C30 | 49J53 | Analysis | 49C25 | 90C33 | Mathematics, general | sub-differential | Applications of Mathematics | strong monotone mapping | regularized gap function | Errors | Inequalities
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2014, Volume 2014, Issue 1, pp. 1 - 7
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2007, Volume 334, Issue 2, pp. 1022 - 1038
Under the condition that the involved function F is locally Lipschitz, but not necessarily differentiable, we investigate the regularized gap function defined by a generalized distance function... 
Error bound | Nonsmooth variational inequality problems | Nonlinear complementarity problems | Regularized gap function | Merit function | MATHEMATICS | MATHEMATICS, APPLIED | nonlinear complementarity problems | LOCAL UNIQUENESS | error bound | ERROR-BOUNDS | nonsmooth variational inequality problems | merit function | regularized gap function | Algorithms | Equality
Journal Article
Mathematical Control and Related Fields, ISSN 2156-8472, 2014, Volume 4, Issue 3, pp. 365 - 379
.... Employing this result, we obtain the exact formulations of the Clarke directional derivatives of the regularized gap functions for nonsmooth quasi-variational... 
Nonsmooth Quasi-variational inequality | Clarke directional derivative | Regularized gap function | MATHEMATICS | MARGINAL FUNCTIONS | MATHEMATICS, APPLIED | Nonsmooth quasi-variational inequality | CONVEX | OPTIMIZATION | ERROR-BOUNDS | regularized gap function
Journal Article
Pacific Journal of Optimization, ISSN 1348-9151, 04/2012, Volume 8, Issue 2, pp. 197 - 215
...) is investigated by means of a variational inequality formulation. This problem is then solved by finding a stationary point of the gap function and the regularized gap function... 
Variational inequality problem | Gap function | Complementarity problem | Eigenvalue problem | Regularized gap function | MATHEMATICS, APPLIED | gap function | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | QUADRATIC PROGRAMS | NEWTON METHOD | ALGORITHM | complementarity problem | SUBJECT | variational inequality problem | eigenvalue problem | regularized gap function
Journal Article
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