Ekeland's variational principle in locally p-convex spaces and related results

J. H. Qiu, and S. Rolewicz. "Ekeland's variational principle in locally p-convex spaces and related results." Studia Mathematica 186.3 (2008): 219-235. <http://eudml.org/doc/285165>.

@article{J2008,
abstract = {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.},
author = {J. H. Qiu, S. Rolewicz},
journal = {Studia Mathematica},
keywords = {locally -convex space; local completeness; Ekeland's variational principle; Caristi's fixed point theorem; Daneš’ drop theorem},
language = {eng},
number = {3},
pages = {219-235},
title = {Ekeland's variational principle in locally p-convex spaces and related results},
url = {http://eudml.org/doc/285165},
volume = {186},
year = {2008},
}

TY - JOUR
AU - J. H. Qiu
AU - S. Rolewicz
TI - Ekeland's variational principle in locally p-convex spaces and related results
JO - Studia Mathematica
PY - 2008
VL - 186
IS - 3
SP - 219
EP - 235
AB - 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.
LA - eng
KW - locally -convex space; local completeness; Ekeland's variational principle; Caristi's fixed point theorem; Daneš’ drop theorem
UR - http://eudml.org/doc/285165
ER -