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  • Article
    Citation - WoS: 19
    Citation - Scopus: 19
    Best Proximity Point Theorems for kt-types Cyclic Orbital Contraction Mappings
    (House Book Science-casa Cartii Stiinta, 2012) Karapinar, Erdal; Petrusel, Gabriela; Tas, Kenan; Mathematics
    In this manuscript, three new KT-types cyclic orbital contractions are defined and some related best proximity point theorems are given. Also, the notion of KT-type cyclic orbital Meir-Keeler contraction is defined and some fixed point theorems for this class of mappings are proved. The results of this manuscript generalize some theorems, on the same subject, of several authors, such as Kirk-Srinavasan-Veeramani, Eldered-Veeramani and Karpagam-Agrawal.
  • Article
    Citation - WoS: 59
    Citation - Scopus: 68
    Generalized (c)-conditions and Related Fixed Point Theorems
    (Pergamon-elsevier Science Ltd, 2011) Karapinar, Erdal; Tas, Kenan
    In this manuscript, the notion of C-condition [K. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl. 340 (2008) 1088-1095] is generalized. Some new fixed point theorems are obtained. (C) 2011 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 16
    Citation - Scopus: 20
    Common Fixed Point Theorems in Cone Banach Spaces
    (Hacettepe Univ, Fac Sci, 2011) Abdeljawad, Thabet; Karapinar, Erdal; Tas, Kenan; Mathematics
    Recently, E. Karapinar (Fixed Point Theorems in Cone Banach Spaces, Fixed Point Theory Applications, Article ID 609281, 9 pages, 2009) presented some fixed point theorems for self-mappings satisfying certain contraction principles on a cone Banach space. Here we will give some generalizations of this theorem.
  • Conference Object
    Citation - WoS: 5
    Advances on Fixed Point Results on Partial Metric Spaces
    (Springer international Publishing Ag, 2019) Karapinar, Erdal; Tas, Kenan; Rakocevic, Vladimir
    [No Abstract Available]