A Generalized Variational Principle

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2001 English Publisher:Canadian Mathematical SocietyJournal:Canadian Journal of Mathematics, volume 53, pages 1,174-1,193 (issn: 0008-414X, eissn: 1496-4279,

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Authors: Loewen, Philip D.; Wang, Xianfu;

doi: 10.4153/cjm-2001-044-8

A Generalized Variational Principle

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Abstract

AbstractWe prove a strong variant of the Borwein-Preiss variational principle, and show that on Asplund spaces, Stegall's variational principle follows from it via a generalized Smulyan test. Applications are discussed.

Related Organizations

University of British Columbia
Canada
Okanagan College
Canada

Keywords

variational principle, Methods involving semicontinuity and convergence; relaxation, Nonsmooth analysis, strong minimizer, Optimality conditions for problems in abstract spaces, Asplund space, approximate subdifferential

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