Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (7): 917-928.doi: https://doi.org/10.1007/s10483-010-1326-6

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Quadratic minimization for equilibrium problem variational inclusion and fixed point problem

张石生1 李向荣2 陈志坚2   

  1. 1. Department of Mathematics, Yibin University, Yibin 644007, Sichuan Province, P. R. China;
    2. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, P. R. China
  • 收稿日期:2009-11-23 修回日期:2010-05-30 出版日期:2010-07-01 发布日期:2010-07-01

Quadratic minimization for equilibrium problem variational inclusion and fixed point problem

ZHANG Shi-Sheng1, LEE Heung-wing2, CHAN Chi-Kin2   

  1. 1. Department of Mathematics, Yibin University, Yibin 644007, Sichuan Province, P. R. China;
    2. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, P. R. China
  • Received:2009-11-23 Revised:2010-05-30 Online:2010-07-01 Published:2010-07-01

摘要: The purpose of this paper is to find the solutions to the quadratic minimization problem by using the resolvent approach. Under suitable conditions, some new strong convergence theorems are proved for approximating a solution of the above minimization problem. The results presented in the paper extend and improve some recent results.

Abstract: The purpose of this paper is to find the solutions to the quadratic minimization problem by using the resolvent approach. Under suitable conditions, some new strong convergence theorems are proved for approximating a solution of the above minimization problem. The results presented in the paper extend and improve some recent results.

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