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Generalized Ekeland's Variational Principle on Generalized Metric Space.

Authors :
Jiang Zhu
Qing Li
Source :
Southeast Asian Bulletin of Mathematics. 2008, Vol. 32 Issue 3, p601-615. 15p.
Publication Year :
2008

Abstract

In this paper, we present an Ekeland type variational principle, Takahashi type minimization theorem, Caristi type fixed point theorem and a generalized Oettli-Thera's equivalent form on complete D-metric space. We also prove that they are equivalent. The results present in this paper unify, improve and extend many known results due to Zhong, Ekeland, Takahashi, Caristi, and others. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01292021
Volume :
32
Issue :
3
Database :
Academic Search Index
Journal :
Southeast Asian Bulletin of Mathematics
Publication Type :
Academic Journal
Accession number :
32508488