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Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems

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  • Lu-Chuan Ceng
  • Hong-Kun Xu
  • Ching-Feng Wen

Abstract

We introduce a new relaxed viscosity approximation method with regularization and prove the strong convergence of the method to a common fixed point of finitely many nonexpansive mappings and a strict pseudocontraction that also solves a convex minimization problem and a suitable equilibrium problem.

Suggested Citation

  • Lu-Chuan Ceng & Hong-Kun Xu & Ching-Feng Wen, 2013. "Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:531859
    DOI: 10.1155/2013/531859
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    References listed on IDEAS

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    1. L. C. Ceng & A. Petruşel & J. C. Yao, 2013. "Relaxed Extragradient Methods with Regularization for General System of Variational Inequalities with Constraints of Split Feasibility and Fixed Point Problems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-25, March.
    2. L. C. Ceng & A. Petruşel & J. C. Yao, 2013. "Relaxed Extragradient Methods with Regularization for General System of Variational Inequalities with Constraints of Split Feasibility and Fixed Point Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Jen-Chih Yao, 1994. "Variational Inequalities with Generalized Monotone Operators," Mathematics of Operations Research, INFORMS, vol. 19(3), pages 691-705, August.
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    Cited by:

    1. Liuhong Li & Yuanheng Wang, 2014. "Strong Convergence of a Modified Ishikawa Iterative Sequence for Asymptotically Quasi‐Pseudo‐Contractive‐Type Mappings," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).

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