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The Iterative Method for Generalized Equilibrium Problems and a Finite Family of Lipschitzian Mappings in Hilbert Spaces

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  • Atid Kangtunyakarn
  • Sarawut Suwannaut
  • Xiaolong Qin

Abstract

In this research, we introduced the S-mapping generated by a finite family of contractive mappings, Lipschitzian mappings and finite real numbers using the results of Kangtunyakarn (2013). Then, we prove the strong convergence theorem for fixed point sets of finite family of contraction and Lipschitzian mapping and solution sets of the modified generalized equilibrium problem introduced by Suwannaut and Kangtunyakarn (2014). Finally, numerical examples are provided to illustrate our main theorem.

Suggested Citation

  • Atid Kangtunyakarn & Sarawut Suwannaut & Xiaolong Qin, 2022. "The Iterative Method for Generalized Equilibrium Problems and a Finite Family of Lipschitzian Mappings in Hilbert Spaces," Journal of Mathematics, Hindawi, vol. 2022, pages 1-23, May.
    • Handle: RePEc:hin:jjmath:8686041
    DOI: 10.1155/2022/8686041
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