-强增生型算子方程的零点逼近
Approximation for the Zeros of the (?)-StronglyAccretive Operator Equation
摘要
在一般的Banach空间中讨论了(?)-强增生算子方程的琴点和(?)-强伪压缩映象不动点的迭代逼近问题．
In this paper,we discuss problem of iterative approximation of solutions of the e-quation for (?)-strongly accretive operators and of fixed points for (?)-strongly pseudo-contrac-tive mappings.
基金
国家自然科学基金(19971058)和黑龙江省教育厅科学技术研究项目(10511132)
参考文献10
-
1BROWDER F E.Nonlinear mappings of nonexpansive and accretive type in Banach spaces[J].Bull.Amer.Math.Soc.,1967,73: 875-882.
-
2KATO T.Nonlinear semigroups and evolution equation[J].J.Math.Soc.Japan,1967,18/19: 502-508.
-
3XU Y G.Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations[J].J.Math.Anal.Appl.,1998,224: 91-101.
-
4CHANG S S,CHO Y J,LEE B S,et al.Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces[J].J.Math.Anal.Appl.,1998,224: 149-165.
-
5CHIDUME C E.Iterative solutions of nonlinear equations with strongly accretive operators[J].J.Math.Anal.Appl.,1995,192: 502-518.
-
6DENG L.On Chidume's open questions[J].J.Math.Anal.Appl.,1993,174: 441-449.
-
7DENG L,DING X P.Iterative approximation of Lipschitz strictly pseudo-contractive mappings in uniformly smooth Banach spaces[J].Nonlinear Anal.TMA,1995,24: 981-987.
-
8TAN K K,XU H K.Iterative solution to nonlinear equations and strongly accretive operators in Banach spaces[J].J.Math.Anal.Appl.,1993,178: 9-21.
-
9LIU L S.Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces[J].J.Math.Anal.Appl.,1995,194: 114-125.
-
10CHIDUME C E.Approximation of fixed points of strongly pseudo-contractive mappings[J].Proc.Amer.Math.Soc.,1994,120: 545-551.
-
1倪仁兴,魏琴.一类带随机误差的Ishikawa迭代序列的强收敛定理[J].绍兴文理学院学报（自然科学版）,2002,22(1):12-18. 被引量：1
-
2刘理蔚,吕强.非线性Φ-强增生算子方程的迭代程序[J].南昌大学学报（理科版）,1999,23(3):206-211. 被引量：1
-
3张树义,刘平,邵颖,王俊.φ-强增生算子方程的迭代解[J].渤海大学学报（自然科学版）,2008,29(3):228-233. 被引量：2
-
4赵富坤,谢芳,何昌.Banach空间中的Φ-强增生算子方程解及Φ-半压缩算子不动点的存在与逼近问题[J].云南师范大学学报（自然科学版）,2004,24(2):8-12.
-
5曾六川,梁芳.一类新的φ-强增生算子方程的带误差的Ishikawa迭代程序(英文)[J].上海师范大学学报（自然科学版）,2003,32(1):9-14.
-
6谢芳.Banach空间中一类非线性φ-强增生算子方程解的逼近问题(英文)[J].昭通师范高等专科学校学报,2002,24(2):5-9.
