A Generalized Variational Principle

Loewen, Philip D. ; Wang, Xianfu

Canadian journal of mathematics, Tome 53 (2001) no. 6, pp. 1174-1193

Résumé

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.

Détail

DOI : 10.4153/CJM-2001-044-8

Mots-clés : 49J52, Keywords: variational principle, strong minimizer, generalized Smulyan test, Asplund space, dimple point, porosity

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