| 非混合单调二元算子方程(组)解的存在唯一性 |
| |
| 引用本文： | 张婉婷,朱传喜,吴照奇. 非混合单调二元算子方程(组)解的存在唯一性[J]. 数学的实践与认识, 2012, 42(12): 202-208 |
| |
| 作者姓名： | 张婉婷 朱传喜 吴照奇 |
| |
| 作者单位： | 南昌大学数学系,江西南昌,330031 |
| |
| 基金项目： | 国家自然科学基金，江西省自然科学基金 |
| |
| 摘 要： | 利用锥理论及Banach压缩映射原理,在不要求上、下解条件及算子紧性与连续性的条件下,建立了一类满足更一般序关系条件的非混合单调二元算子方程组(?)解的存在唯一性定理,以及非单调二元算子方程T(x,x)=x和非单调一元算子方程Lx=x解的存在唯一性定理,推广了最近相关文献的研究结果.
|
| 关 键 词： | 非混合单调算子 正规再生锥 Banach压缩映射原理 |
Existence and Uniqueness of Solutions for (Systems of) Mixed Non-Monotone Binary Operator Equations |
| |
| ZHANG Wan-ting , ZHU Chuan-xi , WU Zhao-qi. Existence and Uniqueness of Solutions for (Systems of) Mixed Non-Monotone Binary Operator Equations[J]. Mathematics in Practice and Theory, 2012, 42(12): 202-208 |
| |
| Authors: | ZHANG Wan-ting ZHU Chuan-xi WU Zhao-qi |
| |
| Affiliation: | (Department of Mathematics,Nanchang University,Nanchang 330031,China) |
| |
| Abstract: | By using the cone theory and the Banach’s contraction mapping principle,the existence and uniqueness theorems of solutions for a class of systems of mixed non-monotone binary operator equations as well as mixed non-monotone binary operator equations and unary operator equations in ordered Banach spaces under more general conditions without demanding the existence of upper and lower solutions and compactness and continuity conditions are established.The results in this paper generalize many known results. |
| |
| Keywords: | mixed non-monotone operators generating normal cone Banach’s contraction mapping principle |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
