Lipschitz-continuous and coercive operator
Estimates of approximate solutions in the method of parameter continuation
The author studies the estimates of approximate solutions of nonlinear equations in the Banach space with Lipschitz-continuous and coercive operator. The approximate solutions are obtained by the parameter continuation method. Established are the efficient error estimates in construction of approximate solution. This paper develops some ideas by \textit{S. N. Bernstein} [Math. Ann. 59, 20-76 (1904)] and \textit{V. A. Trenogin} [``Functional analysis'', Nauka, Moscow (1993; Zbl 0804.46001)].
scientific article; zbMATH DE number 1609723