成都信息工程学院学报
成都信息工程學院學報
성도신식공정학원학보
JOURNAL OF CHENGDU INSTITUTE OF METEOROLOGY
2010年
6期
661-666
,共6页
基础数学%非线性泛函分析%平衡问题%变分不等式%不动点%反强单调算子%非扩张算子
基礎數學%非線性汎函分析%平衡問題%變分不等式%不動點%反彊單調算子%非擴張算子
기출수학%비선성범함분석%평형문제%변분불등식%불동점%반강단조산자%비확장산자
fundamental mathematics%nonlinear analysis%equilibrium problem%variational inequality problem%fixed point%inverse-strongly monotone mapping%nor-expansive mapping
为了研究寻找一般平衡问题的公共解集中共有元素的迭代方法,及无穷非扩张映像族的不动点问题.通过在Hilbert空间中构造非扩张序列Ti得出了一种关于Wn算子的新黏性逼近迭代算法,在一定条件下,得出了其强收敛定理.
為瞭研究尋找一般平衡問題的公共解集中共有元素的迭代方法,及無窮非擴張映像族的不動點問題.通過在Hilbert空間中構造非擴張序列Ti得齣瞭一種關于Wn算子的新黏性逼近迭代算法,在一定條件下,得齣瞭其彊收斂定理.
위료연구심조일반평형문제적공공해집중공유원소적질대방법,급무궁비확장영상족적불동점문제.통과재Hilbert공간중구조비확장서렬Ti득출료일충관우Wn산자적신점성핍근질대산법,재일정조건하,득출료기강수렴정리.
In this paper, a general iterative scheme for finding a conmon element of the set of common solutions of generalized equilibrium problems and the set of common fixed points of a family of infinte non-expansive mappings is studied. Strong convergence theorem about the Wn-mapping constructed by a family of infintely non-expansive mappings Ti were proved in a Hilbert space under suitable conditions.
