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A Hybrid Subgradient Algorithm for Finding a Common Solution of an Equilibrium Problem and a Family of Strict Pseudocontraction Mappings

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  • Ekkarath Thailert
  • Rabian Wangkeeree
  • Chanoksuda Khantree

Abstract

We propose a new strongly convergent algorithm for finding a common point in the solution set of a class of pseudomonotone equilibrium problems and the set of common fixed points of a family of strict pseudocontraction mappings in a real Hilbert space. The strong convergence theorem of proposed algorithms is investigated without the Lipschitz condition for the bifunctions. Our results complement many known recent results in the literature.

Suggested Citation

  • Ekkarath Thailert & Rabian Wangkeeree & Chanoksuda Khantree, 2014. "A Hybrid Subgradient Algorithm for Finding a Common Solution of an Equilibrium Problem and a Family of Strict Pseudocontraction Mappings," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-8, August.
    • Handle: RePEc:hin:jnljam:142671
    DOI: 10.1155/2014/142671
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