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A Note on Approximating Curve with 1‐Norm Regularization Method for the Split Feasibility Problem

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  • Songnian He
  • Wenlong Zhu

Abstract

Inspired by the very recent results of Wang and Xu (2010), we study properties of the approximating curve with 1‐norm regularization method for the split feasibility problem (SFP). The concept of the minimum‐norm solution set of SFP in the sense of 1‐norm is proposed, and the relationship between the approximating curve and the minimum‐norm solution set is obtained.

Suggested Citation

  • Songnian He & Wenlong Zhu, 2012. "A Note on Approximating Curve with 1‐Norm Regularization Method for the Split Feasibility Problem," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:683890
    DOI: 10.1155/2012/683890
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    References listed on IDEAS

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    1. Yonghong Yao & Wu Jigang & Yeong-Cheng Liou, 2012. "Regularized Methods for the Split Feasibility Problem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Yonghong Yao & Rudong Chen & Giuseppe Marino & Yeong Cheng Liou, 2012. "Applications of Fixed-Point and Optimization Methods to the Multiple-Set Split Feasibility Problem," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-21, April.
    3. Yonghong Yao & Wu Jigang & Yeong-Cheng Liou, 2012. "Regularized Methods for the Split Feasibility Problem," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, February.
    4. Yonghong Yao & Rudong Chen & Giuseppe Marino & Yeong Cheng Liou, 2012. "Applications of Fixed‐Point and Optimization Methods to the Multiple‐Set Split Feasibility Problem," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. Qiao-Li Dong & Songnian He, 2013. "On Two Projection Algorithms for the Multiple‐Sets Split Feasibility Problem," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

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