The vector-valued variational principle in Banach spaces ordered by cones with nonempty interior

Bednarczuk, Ewa M; Przybyła, Maciej

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Title: The vector-valued variational principle in Banach spaces ordered by cones with nonempty interior

Abstract:

We prove a new version of the vector-valued Ekeland variational principle for cones with nonempty interiors. The constructed solution remains efficient for function f perturbed in different directions. Moreover, it is proved that the obtained solution is a sharp efficient solution of order 1 for all perturbed functions.

Relation:

Raport Badawczy = Research Report

Detailed Resource Type:

Report

Resource Identifier:

oai:rcin.org.pl:139700

Source:

RB-2006-50

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open

Subject and keywords:

Sharp solutions Vector-valued variational principle Bishop-phelps cone

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Last modified:

Oct 8, 2020

In our library since:

Sep 17, 2020

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https://rcin.org.pl./publication/175161

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Raporty Badawcze

Edition name	Date
RB-2006-50 : Bednarczuk Ewa Małgorzata, Przybyła Maciej J. : The vector-valued variational principle in Banach spaces ordered by cones with nonempty interior	Oct 8, 2020