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一种半序空间的单调算子的不动点定理
The Fixed Point Theorems of Monotone Operators in the Partial Order Space
【摘要】 研究了半序Banach空间中单调算子的不动点问题,利用了非线性分析中锥与半序的方法,并结合迭代的技巧,证明了不动点的存在性,完善了相关文献的一些结论.
【Abstract】 In this paper,the method of cone and the techniques of partial order theory in nonlinear analysis are used to discuss the existence of the fixed point for the monotone operator in the partial order Banach space.It also constructed sequences,and then some new theorems were obtained.These results improved several well-known comparable results in the literature.
【基金】 国家自然科学基金资助项目(10961003)
- 【文献出处】 内蒙古师范大学学报(自然科学汉文版) ,Journal of Inner Mongolia Normal University(Natural Science Edition) , 编辑部邮箱 ,2013年03期
- 【分类号】O177.91
- 【下载频次】35