Fixed point theorems for $T$-Zamfirescu operators

Priya Raphael, Shaini Pulickakunnel

In this paper, we introduce two new iteration schemes, namely $T$-Mann iteration and $T$-Ishikawa iteration and study the convergence of these iterations for the class of $T$-Zamfirescu operators in real Banach spaces. Our result in this paper improves the corresponding result proved by Morales and Rojas [8].