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Generalized Ekeland's Variational Principle on Generalized Metric Space.
- 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]
- Subjects :
- *VARIATIONAL principles
*FIXED point theory
*METRIC spaces
*TOPOLOGY
*MATHEMATICS
Subjects
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