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Approximation of Solutions of an Equilibrium Problem in a Banach Space

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Listed:
  • Hecai Yuan
  • Guohong Shi

Abstract

An equilibrium problem is investigated based on a hybrid projection iterative algorithm. Strong convergence theorems for solutions of the equilibrium problem are established in a strictly convex and uniformly smooth Banach space which also enjoys the Kadec‐Klee property.

Suggested Citation

  • Hecai Yuan & Guohong Shi, 2012. "Approximation of Solutions of an Equilibrium Problem in a Banach Space," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:812783
    DOI: 10.1155/2012/812783
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    References listed on IDEAS

    as
    1. Siwaporn Saewan & Poom Kumam, 2010. "Modified Hybrid Block Iterative Algorithm for Convex Feasibility Problems and Generalized Equilibrium Problems for Uniformly Quasi‐ϕ‐Asymptotically Nonexpansive Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    2. Siwaporn Saewan & Poom Kumam, 2010. "Modified Hybrid Block Iterative Algorithm for Convex Feasibility Problems and Generalized Equilibrium Problems for Uniformly Quasi- -Asymptotically Nonexpansive Mappings," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-22, July.
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