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- Title
参 参 数非凸弱广义 KyFan不等式 解映射的Lipschitz连续性.
- Authors
万德龙; 孟旭东
- Abstract
We discussed the Lipschitz continuity for solution mappings of parametric non-convex weak generalized Ky Fan inequality in real normed vector space. Firstly, we gave the concept of a class of nonlinear functional and its basic properties. Secondly, under appropriate assumptions, we established the non-convex separation theorem. Finally, we gave the sufficient theorem of Lipschitz continuity for the solution mappings of parametric non-convex weak generalized Ky Fan inequality under the conditions for the solution mapping without any convexity, monotonicity and univariate, and gave an example to prove the theorem.
- Subjects
NORMED rings; VECTOR spaces; CONTINUITY; CONVEXITY spaces
- Publication
Journal of Jilin University (Science Edition) / Jilin Daxue Xuebao (Lixue Ban), 2021, Vol 59, Issue 6, p1387
- ISSN
1671-5489
- Publication type
Article
- DOI
10.13413/j.cnki.jdxblxb.2021048