关于强增生算子的有限族的强收敛定理
Strong Covergence Theorems for a Finite of Accretive Mappings
摘要
提出了Banach空间中非线性增生算子方程带误差的三重迭程式,研究了多个非线性增生算子解与多个强伪压缩映象的公共不动点逼近问题,获得2个收敛定理.
出处
《军械工程学院学报》
2005年第1期75-78,共4页
Journal of Ordnance Engineering College
基金
中国科学院资助项目
参考文献11
-
1Xu L, Noor M A. Fixed point iteration for asymptotically nonexpansive mappings in Banach spaces [ J]. Math. Anal. Appl., 2002, 267: 444-453.
-
2Chidume C E. Approximation of fixed points of strongly pseudo contractive mappings [ J ]. Proc Amer. Math.Soc., 1994, 120:545-551.
-
3Browder F E. Nonliner operators and nonlinear equations of evolution in Banach spaces. [ J ]. Proc. Sympos.Pure Math., 1976, 18 (2).
-
4Zhou H Y. some convergence theoreoms for the Ishikawa iterative sequences of certain nonlinear operators in uniformly smooth Banach spaces. [J]. Acta Math. Sinica. ,1997, 40:751-758.
-
5Deng L, Ding X P. Iterative approximation of Lipschitz strictly pseudo- contractive mappings in uniformly smooth Banach spaces [J]. Acta Appl. Math., 1993, 32:183- 196.
-
6Liu Z Q. Kang S M. Iterative solutions of nonlinear equations with strongly accretive operators in uniformly smoothBanach spaces [ J]. Comput. Math. Appl. , 2003, 45:623 - 634.
-
7Noor M A. Three - step iterative algorithms for multivalued quasi varitional inclusions [ J]. J. Math. Anal. Appl. ,2001,255:589 -604.
-
8Noor M A. Some preditor - corrector algorithms for multivalued varitional inequalities [ J]. Theory Appl. , 2001,108: 659 - 670.
-
9Haubrug S, Nguyen V H, Strodiot J J. Convergence analysis and application of the Glowinski - Le tallec splitting method for finding a zero of the sum of two maximal monotone operators [ J ]. Theory Appl. , 1998, 97: 645 -673.
-
10Chang S S. On Chidume's open questions and approximation solutions of multivalued strongly accretive mapping equationsin Banach spaces [J]. J. Math. Anal. Appl. ,1997, 216: 94-111.
-
1马建珍.非线性强伪压缩算子方程的三重迭代及其收敛性分析[J].绵阳师范学院学报,2007,26(5):15-18.
-
2程莉.强伪压缩映射不动点的迭代逼近(英文)[J].四川大学学报(自然科学版),2001,38(6):820-823.
-
3赵芬,何震.非线性增生算子方程的三重迭代及其收敛性分析[J].河北大学学报(自然科学版),2004,24(5):468-471.
-
4马建珍.非线性增生算子方程带误差的三重迭代及其收敛性分析[J].河北大学学报(自然科学版),2007,27(1):16-18.
-
5赵芬,何震.非线性增生算子方程带误差的三重迭代及其收敛性分析[J].应用泛函分析学报,2006,8(2):164-170. 被引量:4
-
6傅俊义.Banach空间中的非线性增生算子随机方程(英文)[J].应用数学,1994,7(2):212-215.
-
7周冬梅,何中全.Hilbert空间中一类强伪压缩映射的不动点定理与路径收敛[J].内江师范学院学报,2013,28(2):14-18. 被引量:1
-
8徐洪波,潘状元,李敏静.L_P(P<2)空间中强增生映射的Mann迭代[J].哈尔滨电工学院学报,1996,19(2):194-198.
-
9周海云.关于Ishikawa迭代的一点注记[J].科学通报,1997,42(2):126-128. 被引量:3
-
10郭艳杰,石金玮,梁义,魏志浩.强伪压缩映射的Mann和Ishikawa迭代收敛的等价性[J].硅谷,2010,3(17):68-68.