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  • Article
    Citation - WoS: 60
    Citation - Scopus: 72
    Remarks on some coupled fixed point theorems in G-metric spaces
    (Springer international Publishing Ag, 2013) Agarwal, Ravi P.; Karapinar, Erdal
    In this paper, we show that, unexpectedly, most of the coupled fixed point theorems in the context of (ordered) G-metric spaces are in fact immediate consequences of usual fixed point theorems that are either well known in the literature or can be obtained easily.
  • Article
    Citation - WoS: 5
    Citation - Scopus: 4
    Some remarks on 'Multidimensional fixed point theorems for isotone mappings in partially ordered metric spaces'
    (Springer international Publishing Ag, 2014) Agarwal, Ravi P.; Karapinar, Erdal; Roldan-Lopez-de-Hierro, Antonio-Francisco
    The main aim of this paper is to advise researchers in the field of Fixed Point Theory against an extended mistake that can be found in some proofs. We illustrate our claim proving that theorems in the very recent paper (Wang in Fixed Point Theory Appl. 2014: 137, 2014) are incorrect, and we provide different corrected versions of them.
  • 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.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 2
    On an Extension of Contractivity Conditions Via Auxiliary Functions
    (Springer international Publishing Ag, 2015) Agarwal, Ravi P.; Karapinar, Erdal; Roldan-Lopez-de-Hierro, Antonio-Francisco
    In this manuscript, we study sufficient conditions on the functions that appears in very complex contractivity conditions introduced in a recent manuscript by Liu et al. in order to guarantee the existence and uniqueness of common fixed points of four self-mappings.