We consider some variational principles in the spaces C*(X) of bounded continuous functions on metrizable spaces X, introduced by M. M. Choban, P. S. Kenderov and J. P. Revalski. In particular we give an answer (consistent with ZFC) to a question stated by these authors.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-3-7, author = {Adrian Kr\'olak}, title = {A Remark on Variational Principles of Choban, Kenderov and Revalski}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {61}, year = {2013}, pages = {257-261}, zbl = {1297.54060}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-3-7} }
Adrian Królak. A Remark on Variational Principles of Choban, Kenderov and Revalski. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) pp. 257-261. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-3-7/