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Now showing 1 - 6 of 6
  • Article
    Citation - WoS: 45
    Citation - Scopus: 45
    A Note on "some Results on Multi-Valued Weakly Jungck Mappings in b-metric Space"
    (versita, 2013) Bota, Monica-Felicia; Karapinar, Erdal
    The 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: 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.
  • Article
    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.
  • Article
    Citation - WoS: 13
    Citation - Scopus: 11
    Some Fixed Point Results on Quasi-b-metric-like Spaces
    (Springer international Publishing Ag, 2015) Cvetkovic, Marija; Karapinar, Erdal; Rakocevic, Vladimir
    In 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: 20
    Citation - Scopus: 28
    Some Extensions for Geragthy Type Contractive Mappings
    (Springer international Publishing Ag, 2015) Karapinar, Erdal; Alsulami, Hamed H.; Noorwali, Maha
    In 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: 26
    Citation - Scopus: 19
    A 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.