Ekeland's variational principle in Fréchet spaces and the density of extremal points

J. H. Qiu. "Ekeland's variational principle in Fréchet spaces and the density of extremal points." Studia Mathematica 168.1 (2005): 81-94. <http://eudml.org/doc/284840>.

@article{J2005,
abstract = {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.},
author = {J. H. Qiu},
journal = {Studia Mathematica},
keywords = {Ekeland's variational principle; Fréchet space; extremal points; perturbations},
language = {eng},
number = {1},
pages = {81-94},
title = {Ekeland's variational principle in Fréchet spaces and the density of extremal points},
url = {http://eudml.org/doc/284840},
volume = {168},
year = {2005},
}

TY - JOUR
AU - J. H. Qiu
TI - Ekeland's variational principle in Fréchet spaces and the density of extremal points
JO - Studia Mathematica
PY - 2005
VL - 168
IS - 1
SP - 81
EP - 94
AB - 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.
LA - eng
KW - Ekeland's variational principle; Fréchet space; extremal points; perturbations
UR - http://eudml.org/doc/284840
ER -