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

Keywords

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