Search Results

Now showing 1 - 7 of 7
  • Article
    Citation - WoS: 178
    Citation - Scopus: 184
    Couple fixed point theorems for nonlinear contractions in cone metric spaces
    (Pergamon-elsevier Science Ltd, 2010) Karapinar, Erdal
    The notion of coupled fixed point is introduced by Bhaskar and Lakshmikantham (2006) in [13]. In this manuscript, some results of Lakshmikantham and Ciric (2009) in [5] are extended to the class of cone metric spaces. (C) 2010 Elsevier Ltd. All rights reserved.
  • Editorial
    The Special Issue to Honor 90th Birthday Professor Sehie Park
    (Yokohama Publications, 2025) Karapinar, Erdal
  • Book Part
    Citation - Scopus: 14
    A Short Survey on Dislocated Metric Spaces Via Fixed-Point Theory
    (Springer Singapore, 2017) Karapinar,E.
    In this survey, we collect and combine basic notions and results for the fixed points of certain operators in the frame of dislocated metric (respectively, b-metric) spaces. By preparing a fundamental source, we shall aim to show that there are some rooms for researchers in this interesting and applicable research direction. © Springer Nature Singapore Pte Ltd. 2017. All rights reserved.
  • Article
    Citation - WoS: 54
    Citation - Scopus: 62
    Weak ø-Contraction on partial metric spaces
    (Eudoxus Press, LLC, 2012) Karapinar,E.
    In this manuscript, the notion of weak ø-contraction is considered on partial metric space. It is shown that a self mapping T on a complete partial metric space X has a fixed point if they satisfied weak ø-contraction. © 2012 EUDOXUS PR20E6SS, LLC.
  • Article
    Citation - Scopus: 15
    Some Fixed Point Theorems on the Class of Comparable Partial Metric Spaces
    (2011) Karapinar,E.
    In this paper we present existence and uniqueness criteria of a fixed point for a self mapping on a non-empty set endowed with two comparable partial metrics. © Universidad Politécnica de Valencia.
  • Conference Object
    Citation - Scopus: 1
    On (α, Ψ) Contractions of Integral Type on Generalized Metric Spaces
    (Springer International Publishing, 2015) Karapinar,E.
    In this paper, we investigate the existence and uniqueness of fixed points of (α,ψ)-contractive mappings of integral type in complete generalized metric spaces, introduced by Branciari. Our results generalize and improve several results in literature. © 2015 Springer International Publishing Switzerland.
  • Article
    Citation - WoS: 51
    Citation - Scopus: 55
    Triple Fixed Points in Ordered Metric Spaces
    (int Center Scientific Research & Studies, 2012) Aydi, Hassen; Karapinar, Erdal
    In this paper, we prove triple fixed point theorems in partially ordered metric spaces depended on another function. The presented results generalize the theorem of Berinde and Borcut [Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal. 74(15) (2011) 4889-48971. Also, we state some examples showing that our results are effective.