Ekeland's variational principle in locally
$p$-convex spaces and related results
Studia Mathematica, Tome 186 (2008) no. 3, pp. 219-235
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
In the framework of locally $p$-convex spaces, two versions of Ekeland's variational principle and two versions of Caristi's fixed point theorem are given. It is shown that the four results are mutually equivalent. Moreover, by using the local completeness theory, a $p$-drop theorem in locally $p$-convex spaces is proven.
Keywords:
framework locally p convex spaces versions ekelands variational principle versions caristis fixed point theorem given shown results mutually equivalent moreover using local completeness theory p drop theorem locally p convex spaces proven
Affiliations des auteurs :
J. H. Qiu 1 ; S. Rolewicz 2
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author = {J. H. Qiu and S. Rolewicz},
title = {Ekeland's variational principle in locally
$p$-convex spaces and related results},
journal = {Studia Mathematica},
pages = {219--235},
publisher = {mathdoc},
volume = {186},
number = {3},
year = {2008},
doi = {10.4064/sm186-3-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm186-3-2/}
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J. H. Qiu; S. Rolewicz. Ekeland's variational principle in locally $p$-convex spaces and related results. Studia Mathematica, Tome 186 (2008) no. 3, pp. 219-235. doi: 10.4064/sm186-3-2
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