Table 3 The solutions obtained by the new modified Ishikawa iteration method for different values of λ and γ

x = 0.6

$\begin{array}{l}{y}_1=1.6\\ y_2=1.15\\ y_3=1.4875\\ y_4=1.234375\\ y_5=1.42421875\\ y_6=1.281835937\\ y_7=1.388623046\\ y_8=1.308532714\\ y_9=1.368600463\\ y_{10}=1.323549651\\ y_{11}=1.35733776\end{array}$

$\begin{array}{l}{y}_1=1.6\\ y_2=1.45\\ y_3=1.4875\\ y_4=1.478125\\ y_5=1.48046875\\ y_6=1.479882812\\ y_7=1.480029296\\ y_8=1.479992675\\ y_9=1.48000183\\ y_{10}=1.479999541\\ y_{11}=1.480000114\end{array}$

$\begin{array}{l}{y}_1=1.6\\ y_2=1.45\\ y_3=1.5625\\ y_4=1.534375\\ y_5=1.55546875\\ y_6=1.550195312\\ y_7=1.55415039\\ y_8=1.553161621\\ y_9=1.553903197\\ y_{10}=1.553717803\\ y_{11}=1.553764151\end{array}$

x = 1

$\begin{array}{l}{y}_1=2\\ y_2=1.25\\ y_3=1.8125\\ y_4=1.390625\\ y_5=1.70703125\\ y_6=1.469726562\\ y_7=1.647705078\\ y_8=1.514221191\\ y_9=1.614334106\\ y_{10}=1.539249419\\ y_{11}=1.595562934\end{array}$

$\begin{array}{l}{y}_1=2\\ y_2=1.75\\ y_3=1.8125\\ y_4=1.796875\\ y_5=1.80078125\\ y_6=1.799804687\\ y_7=1.800048828\\ y_8=1.799987792\\ y_9=1.800003051\\ y_{10}=1.799999236\\ y_{11}=1.80000019\end{array}$

$\begin{array}{l}{y}_1=2\\ y_2=1.75\\ y_3=1.9375\\ y_4=1.890625\\ y_5=1.92578125\\ y_6=1.916992187\\ y_7=1.923583984\\ y_8=1.921936035\\ y_9=1.923171996\\ y_{10}=1.922863006\\ y_{11}=1.922940253\end{array}$

x = 1.5

$\begin{array}{l}{y}_1=2.5\\ y_2=1.375\\ y_3=2.21875\\ y_4=1.5859375\\ y_5=2.060546875\\ y_6=1.704589843\\ y_7=1.971557617\\ y_8=1.771331786\\ y_9=1.921501159\\ y_{10}=1.808874128\\ y_{11}=1.893344401\end{array}$

$\begin{array}{l}{y}_1=2.5\\ y_2=2.125\\ y_3=2.21875\\ y_4=2.1953125\\ y_5=2.201171875\\ y_6=2.199707031\\ y_7=2.200073242\\ y_8=2.199981688\\ y_9=2.200004577\\ y_{10}=2.199998854\\ y_{11}=2.200000285\end{array}$

$\begin{array}{l}{y}_1=2.5\\ y_2=2.125\\ y_3=2.40625\\ y_4=2.3359375\\ y_5=2.388671875\\ y_6=2.375488281\\ y_7=2.385375976\\ y_8=2.382904053\\ y_9=2.384757994\\ y_{10}=2.384294509\\ y_{11}=2.38441038\end{array}$