• Title of article

    Fixed point results for probabilistic φ-contractions in generalized probabilistic metric spaces

  • Author/Authors

    Tian ، Jing-Feng - North China Electric Power University , Hu ، Xi-Mei - Hebei Co., Ltd. , Zhang ، Guofang - Hebei University

  • Pages
    16
  • From page
    1150
  • To page
    1165
  • Abstract
    In this paper, we present some new fixed point theorems for probabilistic contractions with a gauge function in generalized probabilistic metric spaces proposed by Zhou et al. Our theorems not only are generalizations of the corresponding results of Ciric [L. Ciric, Nonlinear Anal., 72 (2010), 2009[2018] and Jachymski [J. Jachymski, Nonlinear Anal., 73 (2010), 2199[2203], but also improve and extend the recent results given by Zhou et al. [C. Zhou, S. Wang, L. Ciric, S. M. Alsulami, Fixed Point Theory Appl. 2014 (2014), 15 pages].
  • Keywords
    Fixed point , metric space , Gmetric space , nonlinear contractions , gauge function
  • Journal title
    Journal of Nonlinear Science and Applications
  • Serial Year
    2015
  • Journal title
    Journal of Nonlinear Science and Applications
  • Record number

    2475572