Quadratic minimization for equilibrium problem variational inclusion and fixed point problem

ZHANG Shi-Sheng;LEE Heung-wing;CHAN Chi-Kin

doi:10.1007/s10483-010-1326-6

Applied Mathematics and Mechanics >

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

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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 date: 2009-11-23

Revised date: 2010-05-30

Online published: 2010-07-01

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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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ZHANG Shi-Sheng;LEE Heung-wing;CHAN Chi-Kin . Quadratic minimization for equilibrium problem variational inclusion and fixed point problem[J]. Applied Mathematics and Mechanics, 2010 , 31(7) : 917 -928 . DOI: 10.1007/s10483-010-1326-6

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