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Citation - WoS: 13
Citation - Scopus: 13
Best Proximity Point Results in Dislocated Metric Spaces Via r-functions
(Springer-verlag Italia Srl, 2018) Gholizadeh, Leila; Karapinar, Erdal
In this paper, we investigate the existence of best proximity of R-contractions in the frame of dislocated metric spaces. We also propose some conditions to guarantee the uniqueness of best proximity point for such contractions. We consider an illustrative example to support the given results. This result generalizes a number of recent results on the topic in the literature.
Citation - WoS: 6
Citation - Scopus: 5
α-(ψ, φ) Contractive mappings on quasi-partial metric spaces
(Springer international Publishing Ag, 2015) Karapinar, Erdal; Gholizadeh, Leila; Alsulami, Hamed H.; Noorwali, Maha
In this paper, we consider alpha- contractive mappings in the setting of quasi-partial metric spaces and verify the existence of a fixed point on such spaces. Moreover, we present some examples and applications in integral equations of our obtained results.