General Viscosity Iterative Methods and Applications
Abstract: The main core of this work is to clarify the profound relationships between several kinds of iterative methods for a fixed point of a given nonexpansive mapping.Concerning about the fact that the research focus has changed from the existence and uniqueness of the fixed piont to how to construct effective iterative methods.We begin with the viscosity iterative algorithm proposed by Moudafi.In order to provide a reference for future workers,we elaborate the development and evolution. The paper also deeply summarizes concrete applications of such methods.We focus not only on the modification processes of Mann iteration,but also concern about relevant conclusions about the variational inequalities and equilibrium problems.
文章引用: 田明 , 金鑫 (2011) 一般粘滞迭代方法及其应用。 理论数学， 1， 136-143. doi: 10.12677/pm.2011.12027
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