| 广义e-ω-凹算子的不动点及其应用 |
| |
| 引用本文： | 张克梅.广义e-ω-凹算子的不动点及其应用[J].数学学报,2016,59(1):107-116. |
| |
| 作者姓名： | 张克梅 |
| |
| 作者单位： | 曲阜师范大学数学科学学院 曲阜 273165 |
| |
| 基金项目： | 国家自然科学基金资助项目(11571197) |
| |
| 摘 要： | 给出广义e-ω-凹算子的定义,在假设算子A不是锥映射的前提下,得到了广义e-ω-凹算子的不动点的存在唯一性以及单调迭代列.最后,将主要结果应用到一类Hammerstein型积分方程中去.
|
| 关 键 词： | 广义e-ω-凹算子 锥 不动点 |
Fixed Points of Generalized e-ω-Concave Operator and Application |
| |
| Ke Mei ZHANG.Fixed Points of Generalized e-ω-Concave Operator and Application[J].Acta Mathematica Sinica,2016,59(1):107-116. |
| |
| Authors: | Ke Mei ZHANG |
| |
| Institution: | School of Mathematics Sciences, Qufu Normal University, Qufu 273165, P. R. China |
| |
| Abstract: | We present the definition of generalized e-ω-concave operator, under the assumption that A is not a cone mapping, we obtain the existence and uniqueness of the fixed point, and the monotone iterative sequence of the fixed point for generalized e-ω-concave operator. Finally, we apply the main results to a class of Hammerstein integral equations. |
| |
| Keywords: | generalized e-ω-concave operator cone fixed point |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
|
