On the iterative solution of some decomposable nonlinear operator equations (Q2918696)

Let \(X\) be a complete metric space and let \(A,P:X\to X\) be two nonlinear operators. \textit{S. Mukherjee} and \textit{A. Biswas} [Ranchi Univ. Math. J. 31, 99--103 (2000; Zbl 1044.65046)] solved the operator equation \(Au=Pu\) under certain assumptions by using the iterative process given by \(Au_{n+1}=Pu_n\) (\(n=0,1,\dots\)), where \(u_0\in X\) is the initial approximation. The author of present paper removes some assumptions and extends the main theorem of the paper cited above to a larger classes of nonlinear discontinuous operators.