In this paper, the existence and uniqueness of solution systems for some binary nonlinear operator equations are discussed by using cone and partially order theory and monotone iteration theory, and the iterative sequences which converge to solution of operator equations and error estimates for iterative sequences are also given. Some corresponding results are improved and generalized. Finally, the applications of our results are given.
Cite this paper
B. Qiao, "The Solution of Binary Nonlinear Operator Equations with Applications," Applied Mathematics, Vol. 4 No. 9, 2013, pp. 1237-1241. doi: 10.4236/am.2013.49167.
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