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Three-step iterations for nonlinear accretive operator equations |
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| Authors: | Muhammad Aslam Noor Zhenyu Huang |
| Institution: | a Etisalat College of Engineering, PO Box 980, Sharjah, United Arab Emirates b Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece c Department of Mathematics, Nanjing University, Nanjing 210093, PR China |
| Abstract: | In this paper, we suggest and analyze a three-step iterative scheme for solving nonlinear strongly accretive operator equation Tx=f without continuous condition in a uniformly smooth Banach space. Our results include the Ishikawa, Mann and Noor iterations as special cases. The results presented in this paper improve and extend almost all the current results in the more general setting. |
| Keywords: | Three-step iteration processes Strongly accretive mapping Strongly pseudocontractive mapping Uniformly smooth Banach spaces Convergence |
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