Modified proof of Caristi's fixed point theorem on partial metric spaces

Chakkrid Klin-EamNaresuan UniversityMahidol University2018-10-192018-10-192013-07-08Journal of Inequalities and Applications. Vol.2013, (2013)1029242X102558342-s2.0-84879651119https://repository.li.mahidol.ac.th/handle/123456789/32018In this paper, lower semi-continuous functions are used to modify the proof of Caristi's fixed point theorems on partial metric spaces. We prove a new type of fixed point theorems in complete partial metric spaces, and then generalize them to metric spaces. Some more general results are also obtained on partial metric spaces. © 2013 Klin-eam; licensee Springer.Mahidol UniversityMathematicsModified proof of Caristi's fixed point theorem on partial metric spacesArticleSCOPUS10.1186/1029-242X-2013-210