APPROXIMATION OF NONLINEAR OPERATOR EQUATIONS*

Tran Quoc Binh, Nguyen Minh Chuong · Numerical Functional Analysis and Optimization · 2001

Some stationary and nonstationary projection-iteration methods for a wide class of nonlinear operators are studied. Strong and weak convergence theorems are established. A generalized Edelstein's fixed point theorem is stated. By means of this theorem and of the studied methods one can solve approximately a number of nonlinear operator equations for which the usual Picard method is not applicable. *This paper was supported by the National Fundamental Research Program in Natural Science of Vietnam.

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