应用泛函分析学报
應用汎函分析學報
응용범함분석학보
ACTA ANALYSIS FUNCTIONALIS APPLICATA
2010年
1期
91-96
,共6页
变分包含%φ-强增生映象%修改的Ishikawa迭代序列%不动点
變分包含%φ-彊增生映象%脩改的Ishikawa迭代序列%不動點
변분포함%φ-강증생영상%수개적Ishikawa질대서렬%불동점
variational inclusion%φ-strongly accretive mapping%modified Ishikawa iterative sequence%fixed points%strong convergence
研究Banach空间中φ-强增生型变分包含问题,在实的自反的光滑Banach空间中,证明了这类变分包含问题解得存在唯一性,并给出Ishikawa迭代序列{x_n}强收敛的充要条件.
研究Banach空間中φ-彊增生型變分包含問題,在實的自反的光滑Banach空間中,證明瞭這類變分包含問題解得存在唯一性,併給齣Ishikawa迭代序列{x_n}彊收斂的充要條件.
연구Banach공간중φ-강증생형변분포함문제,재실적자반적광활Banach공간중,증명료저류변분포함문제해득존재유일성,병급출Ishikawa질대서렬{x_n}강수렴적충요조건.
The purpose of this paper is to investigate the problem of variational inclusions with φ-strongly accretive type mapping in a Banach space E.We prove the existence and uniqueness of solution to this class of variational inclusions and the neccesry and sufficiet condions on the strong convergence of the Ishikawa iteration sequence{x_n}.The result in this paper improve the results obtained by ZENG Luchuan and WANG Chao ect.
