期刊文献+

Quadratic minimization for equilibrium problem variational inclusion and fixed point problem

Quadratic minimization for equilibrium problem variational inclusion and fixed point problem
下载PDF
导出
摘要 The purpose of this paper is to find the solutions to the quadratic mini- mization problem by using the resolvent approach. Under suitable conditions, some new strong convergence theorems are proved for approximating a solution of the above min- imization problem. The results presented in the paper extend and improve some recent results. The purpose of this paper is to find the solutions to the quadratic mini- mization problem by using the resolvent approach. Under suitable conditions, some new strong convergence theorems are proved for approximating a solution of the above min- imization problem. The results presented in the paper extend and improve some recent results.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2010年第7期917-928,共12页 应用数学和力学(英文版)
基金 supported by the Natural Science Foundation of Yibin University (No.2009-Z003)
关键词 quadratic minimization generalized equilibrium fixed point variational inclusion multi-valued maximal monotone mapping inverse-strongly monotone mapping resolvent operator nonexpansive mapping quadratic minimization, generalized equilibrium, fixed point, variational inclusion, multi-valued maximal monotone mapping, inverse-strongly monotone mapping, resolvent operator, nonexpansive mapping
  • 相关文献

参考文献1

二级参考文献22

  • 1Zeng L C, Yao J C. Strong convergence theorem by an exlragradient method for fixed point problems and variational inequality problems[J]. Taiwan Residents Journal of Mathematics, 2006,10(5) : 1293-1303.
  • 2Brezis H. Operateur Maximaux Monotones et Semiproupes de Contractions Darts les Espaces de Hilbert[M]. Amsterdam: North-Holland, 1973.
  • 3Pascali Dan. Nonlinear Mappings of Monotone Type [ M]. Amsterdam, Netherlands: Sijthoff and Noordhoff International Publishers, 1978.
  • 4Liu L S. Ishikawa and Manniterative processes with errors for nonlinear strongly accretive mappings in Banach spaces[ J ] . J Math Anal Appl , 1995,194(1) : 114-125.
  • 5Goebel K, Kirk W A. Topics in metric fixed point theory[ A ] . In: Cambridge Studies in Advanced Mathematics [ C ]. 28. London: Cambridge University Press, 1990.
  • 6Noor M A,Ames K W I F. Sensitivity analysis for quasi variational inclusions[J]. J Math Anal Appl, 1999,236(2) :290-299.
  • 7Chang S S. Set-valued variational inclusions in Banach spaces[ J]. J Math Anal Appl,2000,248:438- 454.
  • 8Chang S S. Existence and approximation of solutions of set-valued vatiational inclusions in Banach spaces[ J]. Nonlinear Anal, TMA ,2001,47( 1 ) :583-594.
  • 9Demyanov V F, Stavroulakis G E, Polyakova L N, et al. Quasidifferentiability and Non.swath Modeling in Mechanics, Engineering and Economics [ M J. Dordrecht: Kluwer Academic, 1996.
  • 10Noor M A. Generalized set-valued variational inclusions and resulvent equations[ J]. J Math Anal Appl, 1998,228( 1 ) : 206-220.

共引文献10

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