On Ekeland’s Variational Principle in Partial Metric Spaces

Authors

Hassen Aydi, Dammam University, Departement ofMathematics. College of Education of Jubail, P.O: 12020, Industrial Jubail 31961. Saudi Arabia.Follow
Erdal Karapınar, Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University , Jeddah , Saudi Arabia.\\ Department of Mathematics, Atilim University 06836,˙Incek, Ankara, TurkeyFollow
Calogero Vetro, Dipartimento di Matematica e Informatica, Universit`a degli Studi di Palermo, via Archirafi 34, 90123, Palermo, ItalyFollow

Author Country (or Countries)

Turkey

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/090131

Recommended Citation

Aydi, Hassen; Karapınar, Erdal; and Vetro, Calogero (2015) "On Ekeland’s Variational Principle in Partial Metric Spaces," Applied Mathematics & Information Sciences: Vol. 09: Iss. 1, Article 38.
DOI: http://dx.doi.org/10.12785/amis/090131
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss1/38