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Citation - WoS: 61
Citation - Scopus: 81
Dislocated metric space to metric spaces with some fixed point theorems
(Springer international Publishing Ag, 2013) Karapinar, Erdal; Salimi, Peyman
In this paper, we notice the notions metric-like space and dislocated metric space are exactly the same. After this historical remark, we discuss the existence and uniqueness of a fixed point of a cyclic mapping in the context of metric-like spaces. We consider some examples to illustrate the validity of the derived results of this paper.
Citation - WoS: 29
Citation - Scopus: 44
Fixed Points of Conditionally f-contractions in Complete Metric-Like Spaces
(Springer international Publishing Ag, 2015) Karapinar, Erdal; Kutbi, Marwan A.; Piri, Hossein; O'Regan, Donal; O’Regan, Donal
In this paper, we introduce the notion of a conditionally F-contraction in the setting of complete metric-like spaces and we investigate the existence of fixed points of such mappings. Our results unify, extend, and improve several results in the literature.