caa a22 4500 465775098 CHVBK 20180323111939.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02055199 doi (NATIONALLICENCE)springer-10.1007/BF02055199 Strong stability of stationary solutions and Karush-Kuhn-Tucker points in nonlinear optimization [Elektronische Daten] [Diethard Klatte, Klaus Tammer] The concepts of strongly stable stationary solutions (in Kojima's sense) and of strongly regular Karush-Kuhn-Tucker points (in Robinson's sense) for optimization problems with twice differentiable data are crucial in theory and applications of nonlinear optimization with data perturbations. In this paper we give interconnections between both concepts and extend some ideas to standard nonlinear programs withC 1 data (underC 1 perturbations). The main purpose of this paper is to survey several equivalent characterizations of strong stability in the classical case of programs withC 2 data underC 2 perturbations. The unified approach proposed here is essentially based on arguments from the analysis of Lipschitzian mappings. J.C. Baltzer A.G. Scientific Publishing Company, 1990 Optimization with data perturbations nationallicence strongly stable stationary solutions nationallicence strong regularity nationallicence non-smooth analysis nationallicence implicit function theorems nationallicence Klatte Diethard Sektion Mathematik, Pädagogische Hochschule Halle-Köthen, Kröllwitzer Str. 44, D-4050, Halle, Saale, Germany aut Tammer Klaus Sektion Mathematik und Informatik, Technische Hochschule Leipzig, PSF 66, D-7030, Leipzig, Germany aut Annals of Operations Research Baltzer Science Publishers, Baarn/Kluwer Academic Publishers 27/1(1990-12-01), 285-307 0254-5330 27:1<285 1990 27 10479 https://doi.org/10.1007/BF02055199 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02055199 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Klatte Diethard Sektion Mathematik, Pädagogische Hochschule Halle-Köthen, Kröllwitzer Str. 44, D-4050, Halle, Saale, Germany aut NATIONALLICENCE 700 1- Tammer Klaus Sektion Mathematik und Informatik, Technische Hochschule Leipzig, PSF 66, D-7030, Leipzig, Germany aut NATIONALLICENCE 773 0- Annals of Operations Research Baltzer Science Publishers, Baarn/Kluwer Academic Publishers 27/1(1990-12-01), 285-307 0254-5330 27:1<285 1990 27 10479 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer