参数广义向量拟平衡问题的Hlder连续性
On the H(o|¨)lder Continuity of Solution to Parametric General Vector Quasiequilibrium Problems
摘要
通过研究Hausdoff距离的性质,给出了在度量空间下广义向量拟平衡问题的解集是集值情况下的解集的Hlder连续性.
Through the study of proposition of Hausdorff distance, the author gives the Holder continuity of solutions of general mutivalues vector quasiequilibrium problens in metric spaces under the case that the solution mappings are set-valued.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第9期218-224,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(10871216)
参考文献7
-
1MAit Mansour, Riahi N. Sensitivity analysis for abstract equilibrium problems[J]. Journal of Math- ematical Analysis and Applica- tions, 2005(306): 684-691.
-
2M Ait Mansour, Scrimali L. HSlder continuity of solutions to elastic traffic network models[J]. Journal of Global Optimization, 2008(40): 175-184.
-
3Anh L Q, Khanh P Q. On the Holder continuity of solutions to parametric multivalued vector equilibrium problems[J]. Journal of Mathematical Analysis and Applica- tions, 2006(321): 308-315.
-
4Anh L Q, Khanh P Q. Uniqueness and HSlder continuity of the solution to multivalued equilibrium problems in metric spaces[J]. Journal of Global Optimization, 2007(37): 449-465.
-
5Anh L Q, Khanh P Q. Sensitivity analysis for multivalued quasiequilibrium problems in metric spaces: Holder continuity of solutions[J]. Journal of Global Optimization, 2008(42): 515-531.
-
6Li S J, Li X B, Wang L N, Teo K L. The HSlder continuity of solutions to generalized vector equilibrium problems[J]. European Journal of Operational Research, 2009(199): 334-338.
-
7Aubin J P, Ekeland I. Applied Nonlinear Analysis[M]. New York: John Wiley and Sons, 1984.
