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The Solution of Binary Nonlinear Operator Equations with Applications
Department of Mathematics, Shangqiu Normal College, Shangqiu, China
- 1 Department of Mathematics, Shangqiu Normal College, Shangqiu, China
Applied Mathematics·Volume 04 (2013)·Pages 1237–1241·Published 30 August 2013·DOI10.4236/am.2013.49167
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Abstract
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.
KeywordsCone and Partial OrderSolutionNonlinear Binary OperatorOperator Equations
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