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Table 1 Iteration of \(z_{n}\) for \(a=b=0.2\) with \((x)_{\Delta}=(x,x)\)

From: Fixed point theorems in graphical cone metric spaces and application to a system of initial value problems

a = b = 0.2

\(z_{0}=(0.75)_{\Delta}\)

\(z_{0}=(0.8)_{\Delta}\)

\(z_{0}=(0.85)_{\Delta}\)

\(z_{0}=(0.9)_{\Delta}\)

\(z_{0}\)

\((0.75000)_{\Delta}\)

\((0.80000)_{\Delta}\)

\((0.85000)_{\Delta}\)

\((0.90000)_{\Delta}\)

\(z_{1}\)

\((0.94409)_{\Delta}\)

\((0.95635)_{\Delta}\)

\((0.96802)_{\Delta}\)

\((0.97915)_{\Delta}\)

\(z_{2}\)

\((0.98856)_{\Delta}\)

\((0.99111)_{\Delta}\)

\((0.99352)_{\Delta}\)

\((0.99579)_{\Delta}\)

\(z_{3}\)

\((0.99770)_{\Delta}\)

\((0.99822)_{\Delta}\)

\((0.99870)_{\Delta}\)

\((0.99916)_{\Delta}\)

\(z_{4}\)

\((0.99954)_{\Delta}\)

\((0.99964)_{\Delta}\)

\((0.99974)_{\Delta}\)

\((0.99983)_{\Delta}\)

\(z_{5}\)

\((0.99991)_{\Delta}\)

\((0.99993)_{\Delta}\)

\((0.99995)_{\Delta}\)

\((0.99997)_{\Delta}\)

\(z_{6}\)

\((0.99998)_{\Delta}\)

\((0.99999)_{\Delta}\)

\((0.99999)_{\Delta}\)

\((0.99999)_{\Delta}\)

\(z_{7}\)

\((1.00000)_{\Delta}\)

\((1.00000)_{\Delta}\)

\((1.00000)_{\Delta}\)

\((1.00000)_{\Delta}\)

\(z_{8}\)

\((1.00000)_{\Delta}\)

\((1.00000)_{\Delta}\)

\((1.00000)_{\Delta}\)

\((1.00000)_{\Delta}\)