一类k-次增生型变分包含解的迭代构造

谷峰

系统科学与数学 ›› 2008, Vol. 28 ›› Issue (2) : 144-153.

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系统科学与数学 ›› 2008, Vol. 28 ›› Issue (2) : 144-153. DOI: 10.12341/jssms10052
论文

一类k-次增生型变分包含解的迭代构造

    谷峰(1)(2)
作者信息 +

On the Iterative Construction of Solutions for a Class of Variational Inclusions with K-Subaccretive Type Mappings

    GU Feng(1)(2)
Author information +
文章历史 +

摘要

在实自反Banach空间中,引入和研究了一类新的k-次增生型变分包含问题,证明了这类变分包含解的存在性、唯一性及其具有混合误差项的Ishikawa迭代程序的收敛性. 结果本质地改进、发展和统一了张石生和曾六川等人的一系列相关结果.

Abstract

The paper aims to introduce and study a new class of variational inclusions
problem with k-subaccretive type mappings in real reflexive Banach spaces. The author proves the existence and uniqueness of solutions
to this class of variational inclusions and the convergence of Ishikawa iteration process with mixed errors for approximating solutions. The results presented improve, extend, and unify many corresponding results obtained by Chang, Zeng, etc.

关键词

变分包含 / k-次增生映象 / m-增生映象 / 具混合误差项的Ishikawa迭代程序.

Key words

Variational inclusion / k-subaccretive mapping / m-accretive mapping / Ishikawa iterative process with mixed errors.

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谷峰. 一类k-次增生型变分包含解的迭代构造. 系统科学与数学, 2008, 28(2): 144-153. https://doi.org/10.12341/jssms10052
GU Feng. On the Iterative Construction of Solutions for a Class of Variational Inclusions with K-Subaccretive Type Mappings. Journal of Systems Science and Mathematical Sciences, 2008, 28(2): 144-153 https://doi.org/10.12341/jssms10052
中图分类号： 49J30    47H06    47H17   
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