期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
The Existence and Uniqueness of the Solutions for Some Non-monotone Binary Operator Equations A( x , x) =Cx
摘要/Abstract
摘要：
利用Mann迭代技巧，讨论了不具有连续性和紧性条件的非单调二元算子方程A(x，x)=Cx解的存在唯一性，并给出了迭代序列收敛于解的误差估计，所得结果是某些已知结果本质的改进和推广。
Abstract：
By using Mann iterative technique , the existence and uniqueness of solutions of some non monotone binary operator equations are studied without continuity and compactness conditions A( x , x)=Cx . And the error estimates of the iteration sequences which converge to solution of operator equations are also given. The results presented here improve and generalize some corresponding results.
关键词
Key words：
Mann iterative
;
cone and partial ordering
;
mixed monotone operator
;
fixed point