| ON A SURJECTIVITY FOR THE SUM OF TWO MAPPINGS OF MONOTONE TYPE |
| |
| 作者姓名： | Zhao Yichun |
| |
| 作者单位： | Department of |
| |
| 摘 要： | In this paper the sum(T+S)of two nonlinear mappings is considered,where T ismaximal monotone or generalized pseudomonotone and S is generalized pseudomonotone orof type(M).By using the concepts of T-boundedness,T-generalized pseudomonotonemappings and mappings of type T--(M) introduced by the author,it is proved that(T+S) is of type (M).A new surjectivity result for multivalued pseudo A-propermappings is given.As a consequence,it is obtained that the coercive mappings of type(M)whose effective domain contains a dense linear subspace are surjectivity. In particular,the author answers affirmatively a part of Browder's question(see1],p.70).
|
| 收稿时间： | 1983/6/11 0:00:00 |
On a Surjectivity for the Sum of Two Mappings of Monotone Type |
| |
| Zhao Yichun.ON A SURJECTIVITY FOR THE SUM OF TWO MAPPINGS OF MONOTONE TYPE[J].Chinese Annals of Mathematics,Series B,1985,6(4):471-480. |
| |
| Authors: | Zhao Yichun |
| |
| Institution: | Department of Mathematics, Northeast University of Technology, Shenyang, China. |
| |
| Abstract: | In this paper the sum (T+S) of two nonlinear mappings is considered, where T is maximal monotone or generalized pseudomonotone and S is generalized pseudomonotone or of type (M). By using the concepts of T-boundedness, T-generalized pseudomonotone mappings and mappings of type T-(M) introduced by the author, it is proved that (T+S) is of type (M). A new surjectivity result for multivalued pseudo A-proper mappings, is given. As a consequence, it is obtained that the coercive mappings of type (M) whose effective domain contains a dense linear subspace are surjectivity. In particular, the author answers affirmatively a part of Browder''s question (see 1], p. 70). |
| |
| Keywords: | |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |
|
