期刊文献+

Banach空间中非紧性条件下的隐式集值变分包含问题

Implicit Set - valued Variational Inclusions Problems without Compact Assumption in Banach Spaces
下载PDF
导出
摘要 建立了Bariach空间中非紧性条件下隐式集值变分包含问题解的等价性与存在性命题及解的扰动算法所得的结果是已有结果的补充和拓广。 Equivalence, existence and perturbed algorithm for solving implicit set - valued variational inclusions problems without compact assumption in Banach spaces are established. The findings obtained improve and complement the known results.
作者 冯先智
机构地区 台州学院数学系
出处 《绍兴文理学院学报(自然科学版)》 2005年第7期12-16,共5页 Journal of Shaoxing College of Arts and Sciences
基金 浙江省自然科学基金资助项目(102002)
关键词 BANACH空间 变分包含 紧性条件 集值 隐式 中非 扰动算法 存在性 等价性 拓广 k - subaccretive operator strongly accretive operator resolvent operator set - valued variational inclusion
  • 相关文献

参考文献11

  • 1滕兴虎,张晓岚.Banach空间中的隐式集值变分包含的一种扰动算法[J].应用泛函分析学报,2003,5(4):330-337. 被引量:1
  • 2Noor M Aslam,Noor K I.Sensitivity analysis for quasi - variational inclusions[].Journal of Mathematical Analysis and Applications.1999
  • 3Hassouni A,Moudafi A.A perturbed algoritm for variational inclusions[].Journal of Mathematical Analysis and Applications.1994
  • 4Noor M Aslam,Noor K I,Rassis Th.Set - valued reslolvent equations and mixed variational inequalities[].Journal of Mathematical Analysis and Applications.1998
  • 5Livinus U Uko.Strongly nonlinear generalized equations[].Journal of Mathematical Analysis and Applications.1998
  • 6Noor M Aslam.Algorithms for general monotone mixed variational inequalities[].Journal of Mathematical Analysis and Applications.1998
  • 7Chang S S.Some problems and results in the study of nonlinear analysis[].Nonlinear Analysis.1997
  • 8Chang S S,Cho Y J,Lee B S,etc.Generalized variational inclusions in Banach spaces[].Journal of Mathematical Analysis and Applications.2000
  • 9Moor M Aslam.Generalized set - variational inclusions and resolvent equations[].Journal of Mathematical Analysis and Applications.1998
  • 10Noor M Aslam.Equivalence of variational inclusions with resolvent equations[].Nonlinear Analysis.2000

二级参考文献17

  • 1AslamNoor M. Generalized set-valuedvariational inclusions and resolvent equations [J]. J Math Anal Appl, 1998, 228: 206-220.
  • 2Noor M Aslam. Algorithms for general monotone mixed variational inequalities[J]. JMath Anal Appl,1998, 229: 330-343.
  • 3Noor M Aslam. Equivalence of variational inclusions with resolvent equations[J].Nonlinear Anal,2000, 41: 963-970.
  • 4Chang S S, Cho Y J, Lee B S, Jung I H. Generalized set-valued variationalinclusions in Banach spaces [J]. J Math Anal Appl, 2000, 246: 409-422.
  • 5Livinus U Uko. Stroingly nonlinear generalized equations[J]. J Math Anal Appl,1998, 220: 65-76.
  • 6Noor M Aslam, Noor K I. Sensitivity analysis for quasi-variational inclusions[J]. JMath An al Appl,1999, 236: 290-299.
  • 7Hassouni A, Moudafi A. A perturbed algoritm for variational inclusions[J]. J MathAnal Appl, 1994,185: 706-712.
  • 8Kazmi K R. Mann and Ishikawa type perturbed iterative algorithms for generalizedquasi-variational inclusions[J]. J Math Anal Appl, 1997, 209: 572-584.
  • 9Ding X P. Perturbed proximal point algorithms for generalized quasi-variationalinclusions[J]. J Math Anal Appl, 1997, 210: 88-101.
  • 10Samir Adly. Perturbed algorithms and sensitivity analysis for a general class ofvariational inclusion[J].J Math Anal Appl, 1996, 201: 609-630.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部