Unique solvability of weakly homogeneous generalized variational inequalities
[TMCSC]
August 04, 2020 14:30-15:30
腾讯会议（线上）
SPEAKER
黄正海（天津大学）
ABSTRACT
An interesting observation is that most pairs of weakly homogeneous mappings have no strongly monotonic property, which is one of the key conditions to ensure the unique solvability of the generalized variational inequality. This paper focuses on studying the unique solvability of the generalized variational inequality with a pair of weakly homogeneous mappings. By using a weaker condition than the strong monotonicity and some additional conditions, we achieve several results on the unique solvability of the underlying problem. These results are exported by making use of the exceptional family of elements or derived from new obtained Karamardian-type theorems or established under the exceptional regularity condition. They are new even when the problem comes down to its important subclasses studied in recent years.
ORGANIZERS
黄南京（四川大学）
寇 辉（四川大学）
连 增（四川大学）
张德学（四川大学）
张伟年（四川大学）
SUPPORTED BY
国家天元数学西南中心
四川大学数学学院