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Approximation common zero of two accretive operators in banach spaces

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  • Kim, Jong Kyu
  • Tuyen, Truong Minh

Abstract

The purpose of this paper is to introduce a new iterative method that is the combination of the proximal point algorithm, viscosity approximation method and alternating resolvent method for finding the common zeros of two accretive operators in Banach spaces. And we will prove the strong convergence theorems for the iterative algorithms and give the example of the main theorems. The results of this paper are improvements and extensions of the corresponding ones announced by many others.

Suggested Citation

  • Kim, Jong Kyu & Tuyen, Truong Minh, 2016. "Approximation common zero of two accretive operators in banach spaces," Applied Mathematics and Computation, Elsevier, vol. 283(C), pages 265-281.
    • Handle: RePEc:eee:apmaco:v:283:y:2016:i:c:p:265-281
    DOI: 10.1016/j.amc.2016.02.030
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    References listed on IDEAS

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    1. D. Sahu & J. Yao, 2011. "The prox-Tikhonov regularization method for the proximal point algorithm in Banach spaces," Journal of Global Optimization, Springer, vol. 51(4), pages 641-655, December.
    2. S. Takahashi & W. Takahashi & M. Toyoda, 2010. "Strong Convergence Theorems for Maximal Monotone Operators with Nonlinear Mappings in Hilbert Spaces," Journal of Optimization Theory and Applications, Springer, vol. 147(1), pages 27-41, October.
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