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Has files: falseSubject: cyclic contractions

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Now showing 1 - 4 of 4
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    Article
    Citation - WoS: 7
    Citation - Scopus: 9
    Cyclic Contractions and Related Fixed Point Theorems on g-metric Spaces
    (Natural Sciences Publishing Corp-nsp, 2014) Bilgili, N.; Erhan, I. M.; Karapinar, E.; Turkoglu, D.
    Very recently, Jleli and Samet [53] and Samet et. al. [52] reported that some fixed point result in G-metric spaces can be derived from the fixed point theorems in the setting of usual metric space. In this paper, we prove the existence and uniqueness of fixed points of certain cyclic mappings in the context of G-metric spaces that can not be obtained by usual fixed point results via techniques used in [53,52]. We also give an example to illustrate our statements.
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    Article
    Citation - WoS: 6
    Citation - Scopus: 5
    A Note on 'coupled Fixed Point Theorems for Mixed g-monotone Mappings in Partially Ordered Metric Spaces'
    (Springer international Publishing Ag, 2014) Bilgili, Nurcan; Erhan, Inci M.; Karapinar, Erdal; Turkoglu, Duran
    Recently, some (common) coupled fixed theorems in various abstract spaces have appeared as a generalization of existing (usual) fixed point results. Unexpectedly, we noticed that most of such (common) coupled fixed theorems are either weaker or equivalent to existing fixed point results in the literature. In particular, we prove that the very recent paper of Turkoglu and Sangurlu 'Coupled fixed point theorems for mixed g-monotone mappings in partially ordered metric spaces [Fixed Point Theory and Applications 2013, 2013:348]' can be considered as a consequence of the existing fixed point theorems on the topic in the literature. Furthermore, we give an example to illustrate that the main results of Turkoglu and Sangurlu (Fixed Point Theory Appl. 2013:348, 2013) has limited applicability compared to the mentioned existing fixed point result.
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    Article
    Citation - WoS: 14
    Citation - Scopus: 23
    Cyclic Contractions Via Auxiliary Functions on g-metric Spaces
    (Springer international Publishing Ag, 2013) Bilgili, Nurcan; Karapinar, Erdal
    In this paper, we prove the existence and uniqueness of fixed points of certain cyclic mappings via auxiliary functions in the context of G-metric spaces, which were introduced by Zead and Sims. In particular, we extend, improve and generalize some earlier results in the literature on this topic.
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    Article
    Citation - WoS: 19
    ON ADMISSIBLE WEAK CONTRACTIONS IN b-METRIC-LIKE SPACE
    (Univ Prishtines, 2017) Hammache, K.; Karapinar, E.; Ould-Hammouda, A.
    In this work, we establish some fixed point theorems for admissible weak contractions in b-metric-like spaces and b-metric-like spaces endowed with a partial order. Also, we give some fixed point theorems for cyclic contractive mapping in such spaces. The new results in this paper generalize and extend many theorems that we can find in the literature.