| 曾六川.一类φ-强增生型变分包含问题解的存在性与迭代逼近[J].数学研究及应用,2004,24(2):297~304 |
| 一类φ-强增生型变分包含问题解的存在性与迭代逼近 |
| On the Existence and Iterative Approximation of Solutions for a Class of Variational Inclusions with φ-Strongly Accretive Type Mappings |
| 投稿时间：2001-06-26 |
| DOI：10.3770/j.issn:1000-341X.2004.02.018 |
| 中文关键词: 变分包含 增生映象 φ-强增生映象 带误差的Ishikawa迭代序列 |
| 英文关键词:variational inclusion accretive mapping φ-strongly accretive mapping Ishikawa iterative sequence with errors |
| 基金项目:高等学校优秀青年教师教学和科研奖励基金、上海市曙光计划基金、上海市教委重点学科经费(部分)资助项目. |
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| 中文摘要: |
| 本文研究Banach空间中一类新的φ-强增生型变分包含问题。在实的自反的光滑Ba-nach空间中,证明了这类变分包含问题解的存在唯一性及其带误差的Ishikawa迭代程序的收敛性。本文结果是张石生教授等人的早期与最近的结果的改进与推广。 |
| 英文摘要: |
| The purpose of this paper is to investigate a new class of variational inclusions with φ-strongly accretive type mappings in a Banach space X. We prove the existence and u- niquencss of solutions to this class of variational inclusions and the convergence of the Ishikawa iteration process with errors for approximating solutions. The results in this paper improve and extend the earlier results obtained by S. S. Chang and others. |
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