Geodesic
Ekeland's variational principle in locally $p$-convex spaces and related results
J. H. Qiu1 ; S. Rolewicz2
1 Department of Mathematics Suzhou University Suzhou, Jiangsu 215006 People's Republic of China
2 Institute of Mathematics Polish Academy of Sciences P.O. Box 21, /Sniadeckich 8 00-956 Warszawa, Poland
Studia Mathematica, Tome 186 (2008) no. 3, pp. 219-235 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm186-3-2
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

J. H. Qiu 1 ; S. Rolewicz 2

1 Department of Mathematics Suzhou University Suzhou, Jiangsu 215006 People's Republic of China
2 Institute of Mathematics Polish Academy of Sciences P.O. Box 21, /Sniadeckich 8 00-956 Warszawa, Poland 
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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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