KFU. Card publication. An Inexact Penalty Method for Non Stationary Generalized Variational Inequalities

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FEDERAL UNIVERSITY

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AN INEXACT PENALTY METHOD FOR NON STATIONARY GENERALIZED VARIATIONAL INEQUALITIES

Form of presentation

Articles in international journals and collections

Year of publication

2015

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Authors, employees of KFU

Konnov Igor Vasilevich, author

Bibliographic description in the original language

Konnov I.V. An Inexact Penalty Method for Non Stationary Generalized Variational Inequalities//Set-Valued and Variational Analysis. - 2015. - V.23, No 2. - P. 239-248.

Annotation

We consider a set-valued (generalized) variational inequality problem in a finite-dimensional setting, where only approximation sequences are known instead of exact values of the cost mapping and feasible set. We suggest to apply a sequence of inexact solutions of auxiliary problems involving general penalty functions. Its convergence is attained without concordance of penalty, accuracy, and approximation parameters under certain coercivity type conditions.

Keywords

Variational inequality, non-stationarity, non-monotone mappings, set-valued mappinngs

The name of the journal

SET-VALUED AND VARIATIONAL ANALYSIS

URL

http://link.springer.com/article/10.1007%2Fs11228-014-0293-4

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=120050&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Konnov Igor Vasilevich	ru_RU
dc.date.accessioned	2015-01-01T00:00:00Z	ru_RU
dc.date.available	2015-01-01T00:00:00Z	ru_RU
dc.date.issued	2015	ru_RU
dc.identifier.citation	Konnov I.V. An Inexact Penalty Method for Non Stationary Generalized Variational Inequalities//Set-Valued and Variational Analysis. - 2015. - V.23, No 2. - P. 239-248.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=120050&p_lang=2	ru_RU
dc.description.abstract	SET-VALUED AND VARIATIONAL ANALYSIS	ru_RU
dc.description.abstract	We consider a set-valued (generalized) variational inequality problem in a finite-dimensional setting, where only approximation sequences are known instead of exact values of the cost mapping and feasible set. We suggest to apply a sequence of inexact solutions of auxiliary problems involving general penalty functions. Its convergence is attained without concordance of penalty, accuracy, and approximation parameters under certain coercivity type conditions.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Variational inequality	ru_RU
dc.subject	non-stationarity	ru_RU
dc.subject	non-monotone mappings	ru_RU
dc.subject	set-valued mappinngs	ru_RU
dc.title	An Inexact Penalty Method for Non Stationary Generalized Variational Inequalities	ru_RU
dc.type	Articles in international journals and collections	ru_RU