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A Generalized Variational Principle

Published online by Cambridge University Press:  20 November 2018

Philip D. Loewen  and
Xianfu Wang
Philip D. Loewen
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2. email: loew@math.ubc.ca
Xianfu Wang
Affiliation:
Department of Mathematics & Statistics, Okanagan University College, 3333 College Way, Kelowna, BC, V1V 1V7. email: xwang@cecm.sfu.ca
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Abstract

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We 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.

Keywords

49J52Keywords: variational principlestrong minimizergeneralized Smulyan testAsplund spacedimple pointporosity
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 53 , Issue 6 , 01 December 2001 , pp. 1174 - 1193
Copyright
Copyright © Canadian Mathematical Society 2001

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