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1. CJM 2001 (vol 53 pp. 1174)

Loewen, Philip D.; Wang, Xianfu
A Generalized Variational Principle
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
Category:49J52

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