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  • Article
    Citation - WoS: 203
    Citation - Scopus: 267
    On α-ψ< Contractive Mappings
    (Springer international Publishing Ag, 2013) Karapinar, Erdal; Kumam, Poom; Salimi, Peyman
    In this paper, we introduce the notion of alpha-psi-Meir-Keeler contractive mappings via a triangular alpha-admissible mapping. We discuss the existence and uniqueness of a fixed point of such a mapping in the setting of complete metric spaces. We state a number of examples to illustrate our results. MSC: 46N40, 47H10, 54H25, 46T99.
  • Article
    Citation - WoS: 1
    Relationships Between Tropical Eigenvectors and Tropical Fixed Points of the Group gl(2, R)
    (Forum Editrice Univ Udinese, 2020) Hayat, Umar; Farid, Ghulam; Karapinar, Erdal; Mathematics
    The eigenvalues, eigenvectors and fixed points of matrices have many applications in various branches of science and many mathematical disciplines. In this paper first we introduce the concept of tropical fixed points, then we calculate the tropical eigenvalues and tropical eigenvectors of GL(2, R). Furthermore we give relationships between tropical eigenvectors and tropical fixed points of GL(2, R).
  • Article
    Citation - WoS: 5
    Citation - Scopus: 8
    On the Meir-Keeler Set Contractions
    (int Scientific Research Publications, 2016) Chen, Chi-Ming; Karapinar, Erdal; Chen, Guang-Ting
    This report is aim to investigate the fixed points of two classes of Meir-Keeler-Khan set contractions with respect to the measure of noncompactness. The proved results extend a number of recently announced theorems on the topic. (C) 2016 All rights reserved.