• Title of article

    Strong convergence results for fixed points of nearly weak uniformly L-Lipschitzian mappings of I-Dominated mappings

  • Author/Authors

    Mogbademu, A. A. Research Group in Mathematics and Applications - Department of Mathematics - University of Lagos, Lagos, Nigeria. , Kim, J. K. Department of Mathematics Educations - Kyungam University, Masan, Kyungnam, Republic of Korea, Korea

  • Pages
    8
  • From page
    47
  • To page
    54
  • Abstract
    In this paper, we prove strong convergence results for a modified Mann iterative process for a new class of I- nearly weak uniformly L-Lipschitzian mappings in a real Banach space. The class of I-nearly weak uniformly L-Lipschitzian mappings is an interesting generalization of the class of nearly weak uniformly L-Lipschitzian mappings which inturn is a generalization of the class of nearly uniformly L-Lipschitzian mappings which inturn generalises uniformly L-Lipschitzian mappings. Our theorems include some very recent results in fixed point theory and applications, in the context of nearly uniformly L-Lipschitzian mappings.
  • Keywords
    Modified Mann iteration process , Banach space , Fixed point , I-nearly weak uniformly L-Lipschitzian
  • Journal title
    International Journal of Nonlinear Analysis and Applications
  • Serial Year
    2020
  • Record number

    2606000