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Article Citation - WoS: 45Citation - Scopus: 45A Note on "some Results on Multi-Valued Weakly Jungck Mappings in b-metric Space"(versita, 2013) Bota, Monica-Felicia; Karapinar, ErdalThe proofs of Theorems 2.1, 2.2 and 2.3 from [Olatinwo M.O., Some results on multi-valued weakly jungck mappings in b-metric space, Cent. Eur. J. Math., 2008, 6(4), 610-621] base on faulty evaluations. We give here correct but weaker versions of these theorems.Article Citation - WoS: 13Citation - Scopus: 13Best Proximity Point Results in Dislocated Metric Spaces Via r-functions(Springer-verlag Italia Srl, 2018) Gholizadeh, Leila; Karapinar, ErdalIn 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.Article Citation - WoS: 6Citation - Scopus: 5α-(ψ, φ) Contractive mappings on quasi-partial metric spaces(Springer international Publishing Ag, 2015) Karapinar, Erdal; Gholizadeh, Leila; Alsulami, Hamed H.; Noorwali, MahaIn 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.Article Citation - WoS: 13Citation - Scopus: 11Some Fixed Point Results on Quasi-b-metric-like Spaces(Springer international Publishing Ag, 2015) Cvetkovic, Marija; Karapinar, Erdal; Rakocevic, VladimirIn this paper, we investigate the existence and uniqueness of a fixed point of certain operators in the setting of complete quasi-b-metric-like spaces via admissible mappings. Our results improve, extend, and unify several well-known existence results.Article Citation - WoS: 20Citation - Scopus: 28Some Extensions for Geragthy Type Contractive Mappings(Springer international Publishing Ag, 2015) Karapinar, Erdal; Alsulami, Hamed H.; Noorwali, MahaIn this paper, we establish some fixed point theorems on some extensions of Geragthy contractive type mappings in the context of b-metric-like spaces.Article Citation - WoS: 14Citation - Scopus: 18Some fixed point theorems for (α, ψ)-rational type contractive mappings(Springer international Publishing Ag, 2015) Alsulami, Hamed H.; Chandok, Sumit; Taoudi, Mohamed-Aziz; Erhan, Inci M.In this paper, we introduce the concept of (alpha, psi)-rational type contractive mappings and provide sufficient conditions for the existence and uniqueness of a fixed point for such class of generalized nonlinear contractive mappings in the setting of generalized metric spaces. We also deduce several interesting corollaries.Article Citation - WoS: 26Citation - Scopus: 19A Note on 'coupled Fixed Point Theorems for α-ψ< Mappings in Partially Ordered Metric Spaces'(Springer international Publishing Ag, 2013) Karapinar, Erdal; Agarwal, Ravi P.In this paper, we show that some examples in (Mursaleen et al. in Fixed Point Theory Appl. 2012:124, 2012) are not correct. Then, we extend, improve and generalize their results. Finally, we state some examples to illustrate our obtained results.
