| AN ITERATIVE PROCESS FOR FINDING APPROXIMATE SOLUTIONS TO NONLINEAR EQUATIONS OF STRONGLY ACCRETIVE OPERATORS |
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| 作者姓名： | 曾六川 |
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| 作者单位： | Zeng Lu-chuan Department of Mathematics，Shanghai Normal University，shanghai 200243，Institure of Mathematics，Fudan Unviersity，Shanghai 200433，PRC |
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| 基金项目： | The project supported by the Science and Technology Development Fund of Shanghai Higher Learning |
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| 摘 要： | In this paper, we investigate the Ishikawa iteration process in a p-uniformly smooth Banach space X. We prove that the Ishikawa iteration process converges strongly to the unique solution of the equation Tx=f when T is a Lipschitzian and strongly accretive operator frow X to X, or to the unique fixed point of T when T is a Lipschitzian and strictly pseudocontractive mapping from a nonempty closed convex subset K of X into itself. Our results are the extension and improvements of the earlier and recent results in this field.
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AN ITERATIVE PROCESS FOR FINDING APPROXIMATE SOLUTIONS TO NONLINEAR EQUATIONS OF STRONGLY ACCRETIVE OPERATORS |
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| Zeng Lu-chuan.AN ITERATIVE PROCESS FOR FINDING APPROXIMATE SOLUTIONS TO NONLINEAR EQUATIONS OF STRONGLY ACCRETIVE OPERATORS[J].Numerical Mathematics A Journal of Chinese Universities English Series,1997(2). |
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| Authors: | Zeng Lu-chuan |
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| Institution: | Zeng Lu-chuan Department of Mathematics,Shanghai Normal University,shanghai 200243,Institure of Mathematics,Fudan Unviersity,Shanghai 200433,PRC |
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| Abstract: | In this paper . we investigate the Ishikawa iteration process in a p umformly smooth Ba-nach space X. We prove that the Ishikawa iteration process converges strongly to the unique solution of the equation Tx = f when T is a Lipschitzian and strongly accretive operator from X to X, or to the unique fixed point of T when T is a Lipschitzian and strictly pseudocontractive mapping from a nonempty closed convex subset K of X into itself. Our results are the extension and improvements of the earlier and recent results in this field. |
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| Keywords: | Strongly accretive operators strictly pseudocontractive mapping p-vniformly smooth Banach space |
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