ON CONVERGENCE OF FIXED POINT ITERATION METHOD FOR SOLVING NONLINEAR FUNCTIONAL OPERATOR EQUATIONS |
| 4 | |
| 2011 |
| scientific article | 517.988 | ||
| 149-155 | nonlinear functional operator equation, solvability conditions, fixed point iteration method |
| Simple sufficient conditions are proposed for solvability of nonlinear functional operator equations in a
Banach ideal space. Under these conditions, a modification of the fixed point iteration method for solving the
mentioned equations is in fact proved to converge. As applications, the sufficient conditions for solvability of a
mixed problem for a nonlinear wave equation and a mixed problem for a nonlinear nonstationary transfer equation
have been derived. |
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