Table 13 The solutions obtained by the new modified Ishikawa iteration method for different values of λ and γ

x = 0.6

$\begin{array}{l}{y}_1=0.36\\ y_2=0.18\\ y_3=0.27\\ y_4=0.225\\ y_5=0.2475\\ y_6=0.23625\\ y_7=0.241875\\ y_8=0.2390625\\ y_9=0.24046875\\ y_{10}=0.239765625\\ y_{11}=0.240117361\end{array}$

$\begin{array}{l}{y}_1=0.36\\ y_2=0.09\\ y_3=0.225\\ y_4=0.12375\\ y_5=0.174375\\ y_6=0.13640625\\ y_7=0.155390625\\ y_8=0.141152343\\ y_9=0.148271484\\ y_{10}=0.142932128\\ y_{11}=0.145601806\end{array}$

$\begin{array}{l}{y}_1=0.36\\ y_2=0.18\\ y_3=0.225\\ y_4=0.2025\\ y_5=0.208125\\ y_6=0.2053125\\ y_7=0.206015625\\ y_8=0.205664062\\ y_9=0.205751953\\ y_{10}=0.205708007\\ y_{11}=0.205718994\end{array}$

$\begin{array}{l}{y}_1=0.36\\ y_2=0.09\\ y_3=0.1575\\ y_4=0.106875\\ y_5=0.11953125\\ y_6=0.110039062\\ y_7=0.112412109\\ y_8=0.110632324\\ y_9=0.11107727\\ y_{10}=0.11074356\\ y_{11}=0.110827077\end{array}$

x = 1

$\begin{array}{l}{y}_1=1\\ y_2=0.5\\ y_3=0.75\\ y_4=0.625\\ y_5=0.6875\\ y_6=0.65625\\ y_7=0.671875\\ y_8=0.6640625\\ y_9=0.66796875\\ y_{10}=0.666015625\\ y_{11}=0.666992687\end{array}$

$\begin{array}{l}{y}_1=1\\ y_2=0.25\\ y_3=0.625\\ y_4=0.34375\\ y_5=0.484375\\ y_6=0.37890625\\ y_7=0.431640625\\ y_8=0.392089843\\ y_9=0.411865234\\ y_{10}=0.39703369\\ y_{11}=0.404449462\end{array}$

$\begin{array}{l}{y}_1=1\\ y_2=0.5\\ y_3=0.625\\ y_4=0.5625\\ y_5=0.578125\\ y_6=0.5703125\\ y_7=0.572265625\\ y_8=0.571289062\\ y_9=0.571533203\\ y_{10}=0.571411132\\ y_{11}=0.57144165\end{array}$

$\begin{array}{l}{y}_1=1\\ y_2=0.25\\ y_3=0.4375\\ y_4=0.296875\\ y_5=0.33203125\\ y_6=0.305664062\\ y_7=0.312255859\\ y_8=0.307312011\\ y_9=0.308547973\\ y_{10}=0.307621001\\ y_{11}=0.307852994\end{array}$

x = 1.5

$\begin{array}{l}{y}_1=2.25\\ y_2=1.125\\ y_3=1.6875\\ y_4=1.40625\\ y_5=1.546875\\ y_6=1.4765625\\ y_7=1.51171875\\ y_8=1.494140625\\ y_9=1.502929688\\ y_{10}=1.498535151\\ y_{11}=1.500733546\end{array}$

$\begin{array}{l}{y}_1=2.25\\ y_2=0.5625\\ y_3=1.40625\\ y_4=0.7734375\\ y_5=1.08984375\\ y_6=0.852539062\\ y_7=0.971191406\\ y_8=0.882202146\\ y_9=0.926696776\\ y_{10}=0.893325802\\ y_{11}=0.910011289\end{array}$

$\begin{array}{l}{y}_1=2.25\\ y_2=1.125\\ y_3=1.40625\\ y_4=1.265625\\ y_5=1.30078125\\ y_6=1.283203125\\ y_7=1.287597656\\ y_8=1.28540039\\ y_9=1.285949707\\ y_{10}=1.285675047\\ y_{11}=1.285743713\end{array}$

$\begin{array}{l}{y}_1=2.25\\ y_2=0.5625\\ y_3=0.984375\\ y_4=0.66796875\\ y_5=0.747070312\\ y_6=0.687744139\\ y_7=0.702575682\\ y_8=0.691452024\\ y_9=0.694232939\\ y_{10}=0.692147252\\ y_{11}=0.692669236\end{array}$