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Quadratic minimization for equilibrium problem variational inclusion and fixed point problem

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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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Authors and Affiliations

  1. Department of Mathematics, Yibin University, Yibin, 644007, Sichuan Province, P. R. China

    Shi-sheng Zhang  (张石生)

  2. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, P. R. China

    Heung-wing Lee  (李向荣) & Chi-kin Chan  (陈志坚)

Authors
  1. Shi-sheng Zhang  (张石生)
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  2. Heung-wing Lee  (李向荣)
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  3. Chi-kin Chan  (陈志坚)
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Corresponding author

Correspondence to Shi-sheng Zhang  (张石生).

Additional information

Contributed by Shi-sheng ZHANG

Project supported by the Natural Science Foundation of Yibin University (No. 2009-Z003)

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Zhang, Ss., Lee, Hw. & Chan, Ck. Quadratic minimization for equilibrium problem variational inclusion and fixed point problem. Appl. Math. Mech.-Engl. Ed. 31, 917–928 (2010). https://doi.org/10.1007/s10483-010-1326-6

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  • DOI: https://doi.org/10.1007/s10483-010-1326-6

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2000 Mathematics Subject Classification

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