浙江师范大学学报（自然科学版）
浙江師範大學學報（自然科學版）
절강사범대학학보（자연과학판）
JOURNAL OF ZHEJIANG NORMAL UNIVERSITY(NATURAL SCIENCES)
2015年
1期
41-46
,共6页
粘性逼近%渐近非扩张映像%不动点%变分不等式%强收敛
粘性逼近%漸近非擴張映像%不動點%變分不等式%彊收斂
점성핍근%점근비확장영상%불동점%변분불등식%강수렴
viscosity approximating method%asymptotically nonexpansive mapping%fixed point%variational inequality%strong convergence
在一致凸Banach空间E的非空闭凸子集C上研究了渐近非扩张映像T不动点问题，引入了一种新的更加广泛的粘性逼近迭代算法，在适当条件下证明了该迭代序列{xn}强收敛于映像T的不动点x?∈F( T)，并且x?是一个变分不等式的解。所得结果改进和推广了其他相应结果。
在一緻凸Banach空間E的非空閉凸子集C上研究瞭漸近非擴張映像T不動點問題，引入瞭一種新的更加廣汎的粘性逼近迭代算法，在適噹條件下證明瞭該迭代序列{xn}彊收斂于映像T的不動點x?∈F( T)，併且x?是一箇變分不等式的解。所得結果改進和推廣瞭其他相應結果。
재일치철Banach공간E적비공폐철자집C상연구료점근비확장영상T불동점문제，인입료일충신적경가엄범적점성핍근질대산법，재괄당조건하증명료해질대서렬{xn}강수렴우영상T적불동점x?∈F( T)，병차x?시일개변분불등식적해。소득결과개진화추엄료기타상응결과。
A new viscosity approximating method was introduced for the fixed points of an asymptotically non-expansive mapping T in a nonempty closed convex subset C of an uniformly convex Banach space E. Under certain appropriate conditions, it was proved that the new iterative sequence{xn} converges strongly to a fixed point x?∈ F(T), which would be also the solution of a variational inequality. The results improved and extended the corresponding results reported by some other authors.
