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Citation - WoS: 54
WEAK φ-CONTRACTION ON PARTIAL METRIC SPACES
(Eudoxus Press, Llc, 2012) Karapinar, Erdal
In this manuscript, the notion of weak phi-contraction is considered on partial metric space. It is shown that a self mapping T on a complete partial metric space X has a fixed point if they satisfied weak phi-contraction.
Citation - WoS: 51
Citation - Scopus: 55
Couple Fixed Point on Cone Metric Spaces
(Gazi Univ, 2011) Karapinar, Erdal; Mathematics
In this article, some couple fixed point theorems are proved for the class of Banach valued metric spaces. The results are proved without any additional conditions such as normality or regularity.
Citation - WoS: 12
Triple Fixed Points in Ordered Metric Spaces
(int Center Scientific Research & Studies, 2012) Aydi, Hassen; Karapinar, Erdal
In this paper, we prove triple fixed point theorems in partially ordered metric spaces depended on another function. The presented results generalize the theorem of Berinde and Borcut [Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal. 74(15) (2011) 4889-48971. Also, we state some examples showing that our results are effective.