Variational principles in non-metrizable spaces

P.S. Kenderov ^[1] ; J.P. Revalski ^[1]
1. [1] Bulgarian Academy of Sciences
  
  Bulgarian Academy of Sciences
  
  Bulgaria
Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 20, Nº. 2, 2012, págs. 467-474
Idioma: inglés
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Resumen
- We study generic variational principles in optimization when the underlying topological space X is not necessarily metrizable. It turns out that, to ensure the validity of such a principle, instead of having a complete metric which generates the topology in the space X (which is the case of most variational principles), it is enough that we dispose of a complete metric on X which is stronger than the topology in X and fragments the space X.