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

  • 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

Published
2014-05-12
Section
Articoli