Geodesic
Ekeland's variational principle in Fréchet spaces and the density of extremal points
J. H. Qiu 1
1 Department of Mathematics Suzhou University Suzhou, Jiangsu 215006 People's Republic of China
Studia Mathematica, Tome 168 (2005) no. 1, pp. 81-94 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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By modifying the method of Phelps, we obtain a new version of Ekeland's variational principle in the framework of Fréchet spaces, which admits a very general form of perturbations. Moreover we give a density result concerning extremal points of lower semicontinuous functions on Fréchet spaces. Even in the framework of Banach spaces, our result is a proper improvement of the related known result. From this, we derive a new version of Caristi's fixed point theorem and a density result for Caristi fixed points.
DOI : 10.4064/sm168-1-6
Keywords: modifying method phelps obtain version ekelands variational principle framework chet spaces which admits general form perturbations moreover density result concerning extremal points lower semicontinuous functions chet spaces even framework banach spaces result proper improvement related known result derive version caristis fixed point theorem density result caristi fixed points

J. H. Qiu  1

1 Department of Mathematics Suzhou University Suzhou, Jiangsu 215006 People's Republic of China 
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J. H. Qiu. Ekeland's variational principle in Fréchet spaces
 and the density of extremal points. Studia Mathematica, Tome 168 (2005) no. 1, pp. 81-94. doi: 10.4064/sm168-1-6

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