Filters

2011 - 20164
Reset filters

Settings

Author: Sadarangani, KishinScopus Q: Q2

Search Results

Now showing 1 - 4 of 4
  • Thumbnail Image
    Article
    Citation - WoS: 25
    Citation - Scopus: 27
    A Generalization for the Best Proximity Point of Geraghty-Contractions
    (Springeropen, 2013) Bilgili, Nurcan; Karapinar, Erdal; Sadarangani, Kishin
    In this paper, we introduce the notion of Geraghty-contractions and consider the related best proximity point in the context of a metric space. We state an example to illustrate our result.
  • Thumbnail Image
    Article
    Citation - WoS: 9
    Citation - Scopus: 8
    Existence and Uniqueness of Best Proximity Points Under Rational Contractivity Conditions
    (Walter de Gruyter Gmbh, 2016) Karapinar, Erdal; Roldan-Lopez-de-Hierro, Antonio-Francisco; Sadarangani, Kishin
    The main aim of this paper is to present some theorems in order to guarantee existence and uniqueness of best proximity points under rational contractivity conditions using very general test functions. To illustrate the variety of possible test functions, we include some examples of pairs of functions which are included in innovative papers published in the last years. As a consequence, we prove that our results unify and extend some recent results in this field.
  • Thumbnail Image
    Article
    Citation - WoS: 67
    Citation - Scopus: 80
    Fixed Point Theory for Cyclic (i•-Ψ)
    (Springer international Publishing Ag, 2011) Karapinar, Erdal; Sadarangani, Kishin
    In this article, the concept of cyclic (I center dot - psi)-contraction and a fixed point theorem for this type of mappings in the context of complete metric spaces have been presented. The results of this study extend some fixed point theorems in literature. 2000 Mathematics Subject Classification: 47H10;46T99 54H25.
  • Thumbnail Image
    Article
    Citation - WoS: 8
    Citation - Scopus: 8
    Berinde Mappings in Ordered Metric Spaces
    (Springer-verlag Italia Srl, 2015) Karapinar, Erdal; Sadarangani, Kishin
    Recently, Samet and Vetro proved a fixed point theorem for mappings satisfying a general contractive condition of integral type in orbitally complete metric spaces (Samet and Vetro, Chaos Solitons Fractals 44:1075-1079, 2011). Our aim in this paper is to present a version of the results obtained in the above mentioned paper in the context of ordered metric spaces. Some examples are presented to distinguish our results from the existing ones.