全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

Banach空间集值变分不等式解的存在性

, PP. 621-624

Keywords: 集值变分不等式,相补问题,例外簇,强制性条件,G-伪单调

Full-Text   Cite this paper   Add to My Lib

Abstract:

针对Banach空间集值变分不等式问题,给出集值映射关于集合K的例外簇概念,并在假设集值映射是上半连续的、紧的、具有非空的紧收缩值的条件下,证明集值变分不等式或有解,或集值映射有一例外簇.并在引进强制性条件(H)和G-伪单调的条件下研究集值相补问题的可解性.

References

[1]  Isac G, Li J L. Exceptional family of elements and the solvability of complementarity problems in uniformly smooth and uniformly convex Banach spaces[J]. J Zhejiang University:Science,2005,A6(4):289-295.
[2]  Albert Y. Metric and generalized projection operators in Banach spaces\[C\]//Kartsatos A. Theory and Application of Nonlinear Operators of Monotonic and Accretive Type. New York:Dekker,1996.
[3]  Isac G, Zhao Y B. Exceptional family of elements and the solvability of variational inequalities for unbounded sets in infinite dimensional Hilbert spaces[J]. J Math Anal Appl,2000,246(2):544-556.
[4]  Isac G, Kalashnikov V V. Exceptional families of elements, Leray-Schauder alternative, pseudomonotone operators and complementarity[J]. J Optim Theory Appl,2001,109(1):2345-2349.
[5]  Isac G, Bulavski V. Exceptional families topological degree and complementarity problems[J]. J Global Optim,1997,10(2):207-225.
[6]  Han J, Huang Z H, Fang S C. Solvability of varational inequality problems[J]. J Optim Theory Appl,2004,122(3):501-520.
[7]  Zhao Y B. Exceptional family of elements for a variational inequality problem and its applications[J]. J Global Optim,1999,14(3):313-330.
[8]  Huang N J. Exceptional family of elements and feasibility for nonlinear complementarity problems[J]. J Global Optim,2003,25(3):337-344.
[9]  Facchinei F, Pang J S. Finite-dimensional Variational Inequalities and Complementarity Problems[M]. New York:Springer-Verlag,2003.
[10]  Dafermos S. Sensitivity analysis in variational inequalities[J]. Math Opera Res,1998,13(5):421-434.
[11]  Kien B T, Wong M M, Wong N C. Degree theory for generalized variational inequalities and applications[J]. Math Opera Res,2009,192(3):730-736.
[12]  Kien B T, Wong M M. On the solution stability of variational inequalities[J]. J Glob Optim,2007,39(1):101-111.
[13]  Kien B T, Yao J C. Localization of generalized normal maps and stability of variational inequalities in reflexive Banach spaces[J]. Set Valued Anal,2008,16(7):399-412.
[14]  王敏,何诣然. Banach空间中集值映射的广义变分不等式问题[J]. 四川师范大学学报:自然科学版,2006,24(9):447-449.
[15]  毛秀珍,何诣然. 拟单调广义向量变分不等式[J]. 四川师范大学学报:自然科学版,2007,30(2):134-137.
[16]  张永乐,何诣然. Banach空间中伪单调变分不等式的严格可行性[J]. 四川师范大学学报:自然科学版,2009,32(4):424-426.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133