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A Generalized Variational Principle

  Published:2001-12-01
 Printed: Dec 2001
Canadian Journal of Mathematics
  • Philip D. Loewen
  • Xianfu Wang
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Abstract

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: variational principle, strong minimizer, generalized Smulyan test, Asplund space, dimple point, porosity variational principle, strong minimizer, generalized Smulyan test, Asplund space, dimple point, porosity
MSC Classifications: 49J52 show english descriptions Nonsmooth analysis [See also 46G05, 58C50, 90C56] 49J52 - Nonsmooth analysis [See also 46G05, 58C50, 90C56]
 
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