论文信息 - Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces

Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces

In this article, lower semi-continuous maps are used to generalize Cristi-Kirk's fixed point theorem on partial metric spaces. First, we prove such a type of fixed point theorem in compact partial metric spaces, and then generalize to complete partial metric spaces. Some more general results are also obtained in partial metric spaces.2000 Mathematics Subject Classification 47H10,54H25

Erdal Karapinar | E. Karapınar

[1] S. G. Matthews,et al. Partial Metric Topology , 1994 .

[2] Oscar Valero,et al. Banach's Fixed Point Theorem for Partial Metric Spaces , 2004 .

[3] Ishak Altun,et al. Generalized contractions on partial metric spaces , 2010 .

[4] Erdal Karapinar,et al. Existence and uniqueness of a common fixed point on partial metric spaces , 2011, Appl. Math. Lett..

[5] Ishak Altun,et al. Fixed Point Theorems for Monotone Mappings on Partial Metric Spaces , 2011 .

[6] Erdal Karapinar,et al. Fixed point theorems for operators on partial metric spaces , 2011, Appl. Math. Lett..

[7] J. Caristi,et al. Fixed point theorems for mapping satisfying inwardness conditions , 1976 .

[8] Oscar Valero,et al. On Banach fixed point theorems for partial metric spaces , 2005 .