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Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Canadian Journal of Mathematics
( Vol. 53 NO.6 / (2001))
A Generalized Variational Principle
Philip D. Loewen, Xianfu Wang,
Pages. 1174-1193
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 ae discussed.
Contents 1. Introduction
2. A strong variant of the Borwein-Preiss variational principle
3. The nonlocal DGZ variational principle
4. Generalized Smulyan test and stegall minimization principle
5. The coercive case
6. Variational characterizations of banach spaces
7. Maximality of approximate subdifferentials
Key words variational principle, strong minimizer, generalized Smulyan test, Asplund space, dimple point, porosity
Mathmatical Subject Classification 49J52