High order stability conditions for degenerate optimization problems; elements of -regularity theory

Autor:	Ewa M. Bednarczuk, Agnieszka Prusińska, Alexey A. Tret'yakov
Rok vydání:	2011
Předmět:	Weierstrass function Class (set theory) Stability conditions Optimization problem Applied Mathematics Stability theory Mathematical analysis Degenerate energy levels Applied mathematics Calculus of variations Analysis Numerical stability Mathematics
Zdroj:	Nonlinear Analysis: Theory, Methods & Applications. 74:836-846
ISSN:	0362-546X
DOI:	10.1016/j.na.2010.09.034
Popis:	This paper is devoted to sensitivity analysis of degenerate equality-constrained optimization problems, when the customary regularity of constraints may be violated. Under the p -regularity assumptions we develop p -order stability theory for this class of problems subject to small perturbations and present the estimations of asymptotic behavior of the solutions to the perturbed problems. We derive conditions that guarantee the existence of a solution for perturbed optimization problems and substantiate the assertion of natural character of these conditions. All results are illustrated by classical calculus of variations problems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::400c949e4978026468adcdac9b45d03c https://doi.org/10.1016/j.na.2010.09.034 Zobrazit plný text záznamu Full Text from ScienceDirect