期刊文献+

关于三个问题的混合粘性迭代(英文)

Hybrid Viscosity Iterative for Three Problems
下载PDF
导出
摘要 在Hilbert空间中,对求解混合平衡问题、非扩张映射不动点问题及单调L-Lipschitz连续映射变分不等式问题解的公共元,引入了由粘性迭代方法确定的迭代序列.在一些参数控制条件下获得了一个强收敛定理. This paper introduces an iterative sequence for finding a common element of the set of solutions of a mixed equilibrium problem,the set of fixed point problem of nonexpansive mapping and the set of solutions of the variational inequality problem.A strong convergence theorem is obtained under some parameter controlling conditions.
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第4期124-129,共6页 Journal of Southwest University(Natural Science Edition)
关键词 非扩张映射 混合平衡问题 变分不等式 不动点 nonexpansive mapping mixed equilibrium problem variational inequality fixed point
  • 相关文献

参考文献3

二级参考文献32

  • 1[1]Passty G B. Construction of fixed points for asymptotically nonexpansive mapping [J]. Proc Amer Math Soc,1982,84: 212-216.
  • 2[2]Schu J,Iterative construction of fixed points of asymptotically nonexpansive mappings [J]. J Math Anal Appl,1991,158: 407-413.
  • 3[3]Goebel K,Kirk W A,A fixed point theorem for asymptotically nonexpansive mappings [J]. Proc Amer Math Soc,1972,35: 171-174.
  • 4[4]Ghosh M K,Debnath L. Convergence of Ishikawa iterates of quasi-nonexpansive mappings [J]. J Math Anal appl,1997,207: 96-103.
  • 5[5]Petryshyn W V,Williamson T E,Strong and weak convergence of the sequence of successive approx-imation for quasi-nonexpansive mappings [J]. J Math Anal Appl,1973,43: 459-497.
  • 6[6]Liu Qihou,Iterative sequences for asymptotically quasi-nonexpansive mappings with Error Member [J]. J Math Anal Appl,2001,259: 18-24.
  • 7Ding X P.Generalized G-KKM Theorems in Generalized Convex Spaces and Their Applications[J].J Math Anal Appl,2002,266:21-37.
  • 8Ding X P,Xia F Q.Equilibria of Nonparacompact Generalized Games with δFc-Majorized Correspo-Ndences in G-Convex Spaces[J].NonlAnal,2004,56:831-849.
  • 9Lin L J.Applications of a Fixed Point Theorem in G-Convex Space[J].Nonl Anal,2001,46:601-608.
  • 10Ding X P.Equilibria of Noncompact Generalized Games with U-Majorized Preference Correspondences[J].Appl Math Letter,1998,11(5):115-119.

共引文献16

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