Table 4 The solutions obtained by the new modified Ishikawa iteration method for different values of λ and γ

x = 0.6

$\begin{array}{l}{y}_1=1.6\\ y_2=1.3\\ y_3=1.45\\ y_4=1.375\\ y_5=1.4125\\ y_6=1.39375\\ y_7=1.403125\\ y_8=1.3984375\\ y_9=1.40078125\\ y_{10}=1.399609375\\ y_{11}=1.400195312\end{array}$

$\begin{array}{l}{y}_1=1.6\\ y_2=1.15\\ y_3=1.375\\ y_4=1.20625\\ y_5=1.290625\\ y_6=1.22734375\\ y_7=1.258984375\\ y_8=1.235253905\\ y_9=1.24711914\\ y_{10}=1.238220214\\ y_{11}=1.242669677\end{array}$

$\begin{array}{l}{y}_1=1.6\\ y_2=1.3\\ y_3=1.375\\ y_4=1.3375\\ y_5=1.346875\\ y_6=1.3421875\\ y_7=1.343359375\\ y_8=1.342773437\\ y_9=1.342919921\\ y_{10}=1.342846679\\ y_{11}=1.34286499\end{array}$

$\begin{array}{l}{y}_1=1.6\\ y_2=1.15\\ y_3=1.2625\\ y_4=1.178125\\ y_5=1.19921875\\ y_6=1.183398437\\ y_7=1.187353515\\ y_8=1.184387206\\ y_9=1.185128783\\ y_{10}=1.1845726\\ y_{11}=1.184711646\end{array}$

x = 1

$\begin{array}{l}{y}_1=2\\ y_2=1.5\\ y_3=1.75\\ y_4=1.625\\ y_5=1.6875\\ y_6=1.65625\\ y_7=1.671875\\ y_8=1.6640625\\ y_9=1.66796875\\ y_{10}=1.666015625\\ y_{11}=1.666992187\end{array}$

$\begin{array}{l}{y}_1=2\\ y_2=1.25\\ y_3=1.625\\ y_4=1.34375\\ y_5=1.484375\\ y_6=1.37890625\\ y_7=1.431640625\\ y_8=1.392089843\\ y_9=1.411865234\\ y_{10}=1.39703369\\ y_{11}=1.404449462\end{array}$

$\begin{array}{l}{y}_1=2\\ y_2=1.5\\ y_3=1.625\\ y_4=1.5625\\ y_5=1.578125\\ y_6=1.5703125\\ y_7=1.572265625\\ y_8=1.571289062\\ y_9=1.571533203\\ y_{10}=1.571411132\\ y_{11}=1.57144165\end{array}$

$\begin{array}{l}{y}_1=2\\ y_2=1.25\\ y_3=1.4375\\ y_4=1.296875\\ y_5=1.33203125\\ y_6=1.305664062\\ y_7=1.312255859\\ y_8=1.307312011\\ y_9=1.308547973\\ y_{10}=1.307621001\\ y_{11}=1.307852744\end{array}$

x = 1.5

$\begin{array}{l}{y}_1=2.5\\ y_2=1.75\\ y_3=2.125\\ y_4=1.9375\\ y_5=2.03125\\ y_6=1.984375\\ y_7=2.0078125\\ y_8=1.99609375\\ y_9=2.001953125\\ y_{10}=1.999023437\\ y_{11}=2.000488281\end{array}$

$\begin{array}{l}{y}_1=2.5\\ y_2=1.375\\ y_3=1.9375\\ y_4=1.515625\\ y_5=1.7265625\\ y_6=1.568359375\\ y_7=1.647460937\\ y_8=1.588134764\\ y_9=1.617797851\\ y_{10}=1.595550535\\ y_{11}=1.606674193\end{array}$

$\begin{array}{l}{y}_1=2.5\\ y_2=1.75\\ y_3=1.9375\\ y_4=1.84375\\ y_5=1.8671875\\ y_6=1.85546875\\ y_7=1.858398437\\ y_8=1.856933593\\ y_9=1.857299804\\ y_{10}=1.857116698\\ y_{11}=1.857162475\end{array}$

$\begin{array}{l}{y}_1=2.5\\ y_2=1.375\\ y_3=1.65625\\ y_4=1.4453125\\ y_5=1.498046875\\ y_6=1.458496093\\ y_7=1.468383788\\ y_8=1.460968016\\ y_9=1.462821959\\ y_{10}=1.461431501\\ y_{11}=1.461779116\end{array}$