Implicit function and tangent cone theorems for singular inclusions and applications to nonlinear programming

Autor:	Ewa M. Bednarczuk, Alexey A. Tret'yakov, Agnieszka Prusińska
Rok vydání:	2018
Předmět:	021103 operations research Control and Optimization Implicit function 46N10 47J07 47J22 Tangent cone MathematicsofComputing_NUMERICALANALYSIS 0211 other engineering and technologies Solution set 010103 numerical & computational mathematics 02 engineering and technology 01 natural sciences Complementarity (physics) Implicit function theorem Functional Analysis (math.FA) Nonlinear programming Mathematics - Functional Analysis ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION FOS: Mathematics Applied mathematics 0101 mathematics Singular case Mathematics
Zdroj:	Optimization Letters. 13:1745-1755
ISSN:	1862-4480 1862-4472
DOI:	10.1007/s11590-018-1347-6
Popis:	The paper is devoted to the implicit function theorem involving singular mappings.We also discuss the form of the tangent cone to the solution set of the generalized equations in singular case and give some examples of applications to nonlinear programming and complementarity problems. Comment: 11 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::807745d40471bf33096b601a26e79760 https://doi.org/10.1007/s11590-018-1347-6 Zobrazit plný text záznamu Full text from SpringerLink