In this paper, lower semi-continuous functions are used to extend Ekeland's variational principle to the class of partial metric spaces. As consequences of our results, we obtain some fixed point theorems of Caristi and Clarke types.
Aydi, H., Karapinar, E., Vetro, C. (2015). On Ekeland's variational principle in partial metric spaces. APPLIED MATHEMATICS & INFORMATION SCIENCES, 9(1), 257-262 [10.12785/amis/090131].
On Ekeland's variational principle in partial metric spaces
VETRO, Calogero
2015-01-01
Abstract
In this paper, lower semi-continuous functions are used to extend Ekeland's variational principle to the class of partial metric spaces. As consequences of our results, we obtain some fixed point theorems of Caristi and Clarke types.
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