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分层变分包含问题中经由分层不动点途径的黏性方法 被引量：1

Viscosity Method for Hierarchical Fixed Point Approach to Hierarchical Variational Inclusion Problems
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摘要 基于一原创技术—指标选取法,以黏性法分层逼近可数族非线性映射之公共不动点.并于适当条件下得一强收敛定理,用以解决Hilbert空间背景下之分层变分包含问题. Based on an original technique, i.e., a special way of choosing the indexes of involved mappings, we utilize a viscosity method for hierarchically approximating common fixed points of a kind of countable families of nonlinear mappings; under suitable conditions, a strong convergence theorem is obtained for solving the hierarchical variational inclusion problems in the setting of Hilbert spaces.
作者 邓伟奇
机构地区 云南财经大学统计与数学学院
出处 《数学物理学报（A辑）》 CSCD 北大核心 2014年第5期1254-1263,共10页 Acta Mathematica Scientia
基金 国家自然科学基金(11061037) 云南财经大学科学研究基金一般项目(YC2013A02)资助
关键词 分层不动点 黏性逼近 分层变分包含 预解算子 Hierarchical fixed point Viscosity approximation Hierarchical variational inclusion Resolvent operator.
分类号 O189.2 [理学—基础数学]
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数学物理学报（A辑）
2014年 第5期

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