|
|||||
|
|
Existence theorems of solution to variational inequality problems |
|
| Authors: | ZHANG Liping HAN Jiye XU Dachuan |
| Institution: | 1. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China 2. nstitute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China 3. Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China |
| Abstract: | This paper introduces a new concept of exceptional family for variational inequality problems with a general convex constrained set. By using this new concept, the authors establish a general sufficient condition for the existence of a solution to the problem. This condition is weaker than many known solution conditions and it is also necessary for pseudomonotone variational inequalities. Suffi-cient solution conditions for a class of nonlinear complementarity problems with Po mappings are also obtained. |
| Keywords: | exceptional family variational inequality complementarity problem Po-function |
| 本文献已被 万方数据 SpringerLink 等数据库收录！ | |