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Viscosity Approximation for Split Equality Generalized Mixed Equilibrium Problems With Semigroups of Nonexpansive Mappings

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  • Prashant Patel
  • Rahul Shukla

Abstract

The paper proposes a viscosity approximation algorithm for approximating fixed points. The study in this paper demonstrates that without having the prior estimations of operator norm and semicompactness of one‐parameter semigroups of nonexpansive mappings, the algorithm converges strongly to the solution of split equality generalized mixed equilibrium problem (SEGMEP). MSC2010 Classification: Primary 47H10, 47H09, 47J05, 47J25, 54H25

Suggested Citation

  • Prashant Patel & Rahul Shukla, 2024. "Viscosity Approximation for Split Equality Generalized Mixed Equilibrium Problems With Semigroups of Nonexpansive Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2024(1).
    • Handle: RePEc:wly:jnlaaa:v:2024:y:2024:i:1:n:2812752
    DOI: 10.1155/aaa/2812752
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    References listed on IDEAS

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    1. Jing Zhao & Songnian He, 2012. "Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed‐Point Problem of Quasi‐Nonexpansive Mappings," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Jing Zhao & Songnian He, 2012. "Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-12, March.
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