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有限簇非扩张非自映象的黏性逼近

Keywords: 非扩张非自映象,公共不动点,半闭原理,黏性逼近

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Abstract:

设E是一自反的Banach空间,具有E到E*的弱序列连续的正规对偶映象,K是E的非空闭凸子集而且是E的sunny非扩张收缩核.设fK→K是一压缩映象,T1,T2,…,TNK→E是一有限簇非扩张非自映象且∩Ni=1Fix(Ti)≠.序列{xn}定义为xn+1=P(αnf(xn)+(1-αn)Tnyn),yn=P(βnxn+(1-βn)Tnxn),n≥1,其中{αn},{βn}\0,1\,PE→K是一sunny非扩张保核收缩,Tn=Tn(modN).用黏性逼近方法证明了迭代序列{xn}强收敛于T1,T2,…,TN的公共不动点的充分必要条件,也推广和改进了一些文献的最新结果.

References

[1]  [1] Browder F E. Convergence of approximants to fixed points of nonexpansive maps in Banach spaces\[J\]. Arch Rational Mech Anal,1967,24:8290.[2] Reich S. On the asyptotic behavior of nonlinear semigroups and the range of accretive operators\[J\]. J Math Anal Appl,1984,79:119126.[3] Moudafi A. Viscosity approximation methods for fixed points problems\[J\]. J Math Anal Appl,2000,241:4655.[4] Xu H K. Viscosity approximation methods for nonexpansive mappings\[J\]. J Math Anal Appl,2004,298:279291.[5] Bauschke H H. The approximation of fixed points of compositions of nonexpansive mappings in Banach spaces\[J\]. J Math Anal Appl,1996,202:150159.[6] Chang S S. Viscosity approximation metheds for a finite family of nonexpansive mappings in Banach spaces\[J\]. J Math Anal Appl,2006,323(2):14021416.[7] Jung J S. Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces\[J\]. J Math Anal Appl,2005,302:509520.[8] Song Y, Chen R. Viscosity approximation methods for nonexpansive nonselfmappings\[J\]. J Math Anal Appl,2006,321:316326. 王绍荣. Banach空间中渐近拟非扩张型映象不动点的具误差的Ishikawa迭代逼近\[J\]. 四川师范大学学报:自然科学版,2004,27(3):255258.[10] 李红梅. 局部强伪压缩算子的Ishikawa迭代的收敛性和稳定性\[J\]. 四川师范大学学报:自然科学版,2004,27(3):238241.[11] 赵良才. Banach空间中有限簇非扩张非自映象具误差的迭代逼近\[J\]. 四川师范大学学报:自然科学版,2008,31(2):159163.[12] 倪仁兴. Banach空间中线性流形上的最佳逼近算子的表达式\[J\]. 曲阜师范大学学报:自然科学版. 2004,30(2):13.[13] 冯先智,倪仁兴. 渐近非扩张映象的修正ReichTakahashi迭代的收敛定理\[J\]. 曲阜师范大学学报:自然科学版.2005,31(1):1924.[14] Xu H K. Approximating curves of nonexpansive nonselfmappings in Banach spaces\[J\]. Math Anal,1997,325:151156.[15] Wang X. Fixed point iteration for local strictly pseudocontractive mappings\[J\]. Proc Am Math Soc,1991,113:727731.[16] Chang S S. Some problems and results in the study of nonlinear analysis\[J\]. Nonl Anal:TMA,1997,30(7):41974208.[17] Lim T C, Xu H K. Fixed point theorems for asymptotically nonexpansive mappings\[J\]. Nonl Anal:TMA,1994,22(11):13451355.

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