Equivalence of the convergences of T-Picard, T-Mann and T-Ishikawa iterations for the class of T-Zamfirescu operators

Authors

  • Priya Raphael Sam Higginbottom Institute of Agriculture, Technology and Sciences
  • Shaini Pulickakunnel Sam Higginbottom Institute of Agriculture, Technology and Sciences

Keywords:

T-Picard iteration, T-Mann iteration, T-Ishikawa iteration, T- Zamfirescu operators.

Abstract

In this paper, we prove the equivalence between the convergences of T-Picard iteration, T-Mann iteration and T-Ishikawa iteration for the class ofT-Zamfirescu operators in normed linear spaces. Our results extend and improvethe results of Solutz  and Zhiqun .

Author Biographies

  • Priya Raphael, Sam Higginbottom Institute of Agriculture, Technology and Sciences

    Department of Mathematics

    Research Scholar

  • Shaini Pulickakunnel, Sam Higginbottom Institute of Agriculture, Technology and Sciences

    Department of mathematics

    Associate Professor

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Published

2014-05-12

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Section

Articoli