0557191 20250312153821.920220509235959.9 85120931541 000795432700023 10.1016/j.jmaa.2021.125895 37 s. P cav_un_epca*02570170022-247X508Elsevier Generalized derivatives Second-order theory Strong metric (sub)regularity Semismoothness⁎ 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/2022/MTR/outrata-0557191.pdf https://www.sciencedirect.com/science/article/pii/S0022247X2100977X?via%3Dihub GF21-06569K GA ČR cav_un_auth*0412957 The paper deals with a comprehensive theory of mappings, whose local behavior can be described by means of linear subspaces, contained in the graphs of two (primal and dual) generalized derivatives. This class of mappings includes the graphically Lipschitzian mappings and thus a number of multifunctions, frequently arising in optimization and equilibrium problems. The developed theory makes use of new generalized derivatives, provides us with some calculus rules and reveals a number of interesting connections. In particular, it enables us to construct a modification of the semismooth* Newton method with improved convergence properties and to derive a generalization of Clarke's Inverse Function Theorem to multifunctions together with new efficient characterizations of strong metric (sub)regularity and tilt stability. WOS BA 10000 10100 10101 2023 4 A sml 4as 2rh 20231122150535.3 2 R hod 20250312153808.3 20250312153821.9 RVO:67985556 http://hdl.handle.net/11104/0331258 S Elsevier Publishing Agreement 20211207 125895 n.a. Article Mathematics Applied|Mathematics A MATHEMATICS|MATHEMATICS.APPLIED 1.3 0.3 13.8 0.02772 0.671 27499 0.833 1.200 762 Q2 62.4 Q2 Q2 0.99 Q1 74.7 2022 Soubory v repozitáři: outrata-0557191.pdf, outrata-0557191-YJMAA125895.html 85120931541 SCOPUS PUBMED 000795432700023 WOS cav_un_epca*0257017 Journal of Mathematical Analysis and Applications 0022-247X 1096-0813 Roč. 508 č. 2 2022 Elsevier