Regularized gap functions and error bounds for split mixed vector quasivariational inequality problems. (English) Zbl 1447.49033
This manuscript considers a class of split mixed vector quasivariational inequality problems in real Hilbert spaces. By using the method of the nonlinear scalarization function, new gap functions are established. In terms of regularized gap functions, some error bounds for the underlying split mixed vector quasivariational inequality problems are obtained under suitable assumptions. Finally, some examples are presented to illustrate the obtained results.
Reviewer: Liya Liu (Chengdu)
MSC:
| 49J53 | Set-valued and variational analysis |
| 58E35 | Variational inequalities (global problems) in infinite-dimensional spaces |
| 90C33 | Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) |
| 47S40 | Fuzzy operator theory |
Keywords:
error bound; gap function; split mixed vector quasivariational inequality problem; strong monotonicity mappingReferences:
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