Hilbert空间中的广义集值补问题
The Problems on Complement of A Generalized Set-Value in Hilbert Space
摘要
本文研究了Hilbert空间H(不一定是H格 )中的广义集值非线性补问题 ,通过使用投影的特性和不动点理论 。
出处
《四川教育学院学报》
2001年第5期61-63,共3页
Journal of Sichuan College of Education
参考文献10
-
1Ahmad K., Kazmi K R. and Rehman N. Fixed-point technique for implcit complementarity problem in Hilbert lattice.J.Optim. Theory Appl.,1997,93:67-72.
-
2Bensoussan A.and Lions JL.Nouvelle formulation de problems de controle impulsionnel et applications.Comtes Rendus de LAcademie des Sciences de Paris.1973,276AB,1189-1192.
-
3Boy D W.and Wong J S. On nonlinear contraction.Proc.Amer.Math.Soc.,1969,20:458-464.
-
4Chang S S. and Huang N J. Generalized strongly nonlinear quasi-complementarity problems in Hilbert spaced.J. Math. Anal. Appl.,1991,158:194-202.
-
5Kinderlehrer D. and Stampaccia G.An Introduction to Variational Inequalities and Their Applicartions,London:Academic Press,1980.
-
6Mizoguchi N.and Takahashi W.Fixed point theorems for multivalued mappings on complete metric spaces.J.Math.Anal.Appl.,1989,141:177-188.
-
7Nadler S B.Multi-valued contraction mappings.Pacific J.Math.,1969,30:475-488.
-
8Noor M A.Fixed point approach for complementarity problems.J.Math.Anal.Appl.,1988,133:437-448.
-
9Pang J P.On the convergence of a basic iterative method for the implicit complementarity problems.J.Optim,Theory Appl.,1982,37:149-162.
-
10Zarantonello E H.Projections on convex sets in Hilbert apace and spectral theory.In Contribution to Nonlinear Functional Analysis.New York:Academic Press,1971.
-
1张石生,李耀堂.Hilbert空间中的集值非线性补问题和非线性补问题[J].曲阜师范大学学报（自然科学版）,1991,17(3):45-49.
-
2张超,毕中胜,徐茂良.广义集值强补问题的变换方法(英文)[J].四川大学学报（自然科学版）,2002,39(5):835-838.
-
3黄冬梅.混合变分不等式的变分原理[J].西华师范大学学报（自然科学版）,2016,37(3):297-302.
-
4王如海.Banach空间中的非线性补问题[J].南昌航空工业学院学报,2002,16(1):38-40.
