0509759 20240103222731.920191022235959.9 85071295281 000484384600001 10.1080/02331934.2019.1657427 21 s. P cav_un_epca*02582180233-1934691681-1701Taylor & Francis solution map parameterized variational system Aubin property directional limiting coderivative cav_un_auth*0319636 Gfrerer H. AT cav_un_auth*0101173 Outrata Jiří UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2019/MTR/outrata-0509759.pdf https://www.tandfonline.com/doi/full/10.1080/02331934.2019.1657427 GA17-04301S GA ČR cav_un_auth*0347023 In the paper, a new sufficient condition for the Aubin property to a class of parameterized variational systems is derived. In these systems, the constraints depend both on the parameter as well as on the decision variable itself and they include, e.g. parameter-dependent quasi-variational inequalities and implicit complementarity problems. The result is based on a general condition ensuring the Aubin property of implicitly defined multifunctions which employs the recently introduced notion of the directional limiting coderivative. Our final condition can be verified, however, without an explicit computation of these coderivatives. The procedure is illustrated by an example. WOS BA 10000 10100 10101 2021 RVO:67985556 http://hdl.handle.net/11104/0300390 S 3+4 Article Operations Research Management Science|Mathematics Applied A MATHEMATICS.APPLIED|OPERATIONSRESEARCH&MANAGEMENTSCIENCE 2.119 0.865 5.9 0.00458 0.707 3098 63 0.906 30.78 1.83 666 Q1 1.943 281 Q1 42.118 65.2 Q3 Q2 0.77 Q2 80.943 2020 85071295281 SCOPUS PUBMED 000484384600001 WOS cav_un_epca*0258218 Optimization 0233-1934 1029-4945 Roč. 69 7-8 2020 1681 1701 Taylor & Francis