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Citation - WoS: 8
Citation - Scopus: 8
Berinde Mappings in Ordered Metric Spaces
(Springer-verlag Italia Srl, 2015) Karapinar, Erdal; Sadarangani, Kishin
Recently, Samet and Vetro proved a fixed point theorem for mappings satisfying a general contractive condition of integral type in orbitally complete metric spaces (Samet and Vetro, Chaos Solitons Fractals 44:1075-1079, 2011). Our aim in this paper is to present a version of the results obtained in the above mentioned paper in the context of ordered metric spaces. Some examples are presented to distinguish our results from the existing ones.
Citation - Scopus: 15
Some Fixed Point Theorems on the Class of Comparable Partial Metric Spaces
(2011) Karapinar,E.
In this paper we present existence and uniqueness criteria of a fixed point for a self mapping on a non-empty set endowed with two comparable partial metrics. © Universidad Politécnica de Valencia.
Citation - WoS: 142
Citation - Scopus: 137
Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces
(Springer international Publishing Ag, 2011) Karapinar, Erdal
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