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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, Hindawi, vol. 2013, pages 1-19, May.
    • Handle: RePEc:hin:jnljam:531859
    DOI: 10.1155/2013/531859
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