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Citation - WoS: 57
Citation - Scopus: 65
A Proposal to the Study of Contractions in Quasi-Metric Spaces
(Hindawi Ltd, 2014) Alsulami, Hamed H.; Karapinar, Erdal; Khojasteh, Farshid; Roldan-Lopez-de-Hierro, Antonio-Francisco
We investigate the existence and uniqueness of a fixed point of an operator via simultaneous functions in the setting of complete quasi-metric spaces. Our results generalize and improve several recent results in literature.
Citation - WoS: 1
DISCUSSION ON THE EQUIVALENCE OF W-DISTANCES WITH Ω-DISTANCES
(Yokohama Publ, 2015) Roldan-Lopez-de-Hierro, Antonio-Francisco; Karapinar, Erdal
In this manuscript, we study some relationships between w-distances on metric spaces and Omega-distances on G*-metric spaces. Concretely we show that the class of all w-distances on metric spaces is a subclass of all Omega-distances on G*-metric spaces. Then, researchers must be careful because some recent results about w-distances (for instances, in the topic of fixed point theory) can be seen as simple consequences of their corresponding results about Omega-distances. In this sense, we show how to translate some results between different metric models.