M-PN空间中u-集压缩算子拓扑度的计算（英文）  

Calculations of the Topological Degree of u-set-contractive Operators in M-PN Spaces

作　　者：朱传喜[1] 刘建辉[1] 吴照奇[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《应用数学》2014年第2期420-425,共6页Mathematica Applicata

基　　金：the Natural Science Foundation of China(11361042,11071108);the Natural Science Foundation of Jiangxi Province of China(2010GZS0147);the Youth Foundation of theEducation Department of Jiangxi(GJJ13012)

摘　　要：本文研究M-PN空间中u-集压缩算子0<u<1拓扑度的计算问题,并且利用半闭1-集压缩算子的拓扑度理论研究一类非线性算子方程的解的存在性问题.最后,我们给出定理2.1的一个具体应用.In this paper, we investigate some new calculating problems of the topological degree of u -set-contractive operators （0 〈 u 〈 1） in M-PN spaces, and study a class of nonlinear operator equations by means of the topological degree of semi-closed 1-set-contractive operators. Finally, an example is given to show the application of Theorem 2.1.

关 键 词：M—PN空间 u-集压缩算子 半闭1-集压缩算子 拓扑度 

分 类 号：O211.3[理学—概率论与数理统计]