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COAR Access Rights: open accessSubject: fixed points

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Now showing 1 - 3 of 3
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    Citation - WoS: 201
    Citation - Scopus: 263
    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.
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    Article
    Citation - WoS: 4
    Citation - Scopus: 7
    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.
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    Article
    Citation - WoS: 1
    Some Fixed Point Results Via Measure of Noncompactness
    (int Scientific Research Publications, 2017) Chen, Chi-Ming; Karapinar, Erdal
    In this paper, by using the measure of noncompactness and Meir-Keeler type mappings, we prove some new fixed point theorems for some certain mappings, namely, the weaker phi-Meir-Keeler type contractions, asymptotic weaker phi-Meir-Keeler type contractions, asymptotic sequence {phi(i)}-Meir-Keeler type contraction, xi-generalized comparison type contraction, and R-functional type psi-contractions. Our results improve and hence cover the well-known Darbo's fixed point theorem, and several related recent fixed point results. (C) 2017 All rights reserved.