A set-valued type inequality system

作者:Liu Yingfan*
来源:Nonlinear Analysis-Theory Methods & Applications, 2008, 69(11): 4131-4142.
DOI:10.1016/j.na.2007.10.043

摘要

A set-valued type inequality system is introduced along with two solvability questions composed of existence and perturbation, and main theorems are obtained, which include three necessary and sufficient conditions concerning the existence and a continuity property concerning the perturbation. As applications, two existence criteria with respect to a single-valued type inequality system have also been obtained.