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Vectorial form of Ekeland-type variational principle with applications to vector equilibrium problems and fixed point theory
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2007, Vol. 334 Issue 1, p561-575. 15p. - Publication Year :
- 2007
-
Abstract
- Abstract: This paper introduces a vectorial form of equilibrium version of Ekeland-type variational principle. Some equivalent results to our variational principle are given. As applications, we derive the existence of solutions of a vector equilibrium problem in the setting of complete quasi-metric spaces with a W-distance. Caristi–Kirk fixed point theorem for multivalued maps is also established in a more general setting. [Copyright &y& Elsevier]
- Subjects :
- *SET theory
*FIXED point theory
*EQUILIBRIUM
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 334
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 25255790
- Full Text :
- https://doi.org/10.1016/j.jmaa.2006.12.076