Kantorovich-Type Theorems for Generalized Equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F18%3A43951396" target="_blank" >RIV/49777513:23520/18:43951396 - isvavai.cz</a>

Result on the web

<a href="http://www.heldermann-verlag.de/jca/jca25/jca1658-b.pdf" target="_blank" >http://www.heldermann-verlag.de/jca/jca25/jca1658-b.pdf</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Kantorovich-Type Theorems for Generalized Equations

Original language description

We study convergence of the Newton method for solving generalized equations with a continuous but not necessarily smooth single-valued part and a set-valued mapping with closed graph, both acting in Banach spaces. We present a Kantorovich-type theorem concerning r-linear convergence for a general algorithmic strategy covering both nonsmooth and smooth cases. Under various conditions we obtain higher-order convergence. Examples and computational experiments illustrate the theoretical results.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

<a href="/en/project/GA15-00735S" target="_blank" >GA15-00735S: Stability analysis of optima and equilibria in economics</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

JOURNAL OF CONVEX ANALYSIS

ISSN

0944-6532

e-ISSN

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Volume of the periodical

25

Issue of the periodical within the volume

2

Country of publishing house

DE - GERMANY

Number of pages

28

Pages from-to

459-486

UT code for WoS article

000433383300008

EID of the result in the Scopus database

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