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Viscosity Projection Algorithms for Pseudocontractive Mappings in Hilbert Spaces

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  • Xiujuan Pan
  • Shin Min Kang
  • Young Chel Kwun

Abstract

An explicit projection algorithm with viscosity technique is constructed for finding the fixed points of the pseudocontractive mapping in Hilbert spaces. Strong convergence theorem is demonstrated. Consequently, as an application, we can approximate to the minimum‐norm fixed point of the pseudocontractive mapping.

Suggested Citation

  • Xiujuan Pan & Shin Min Kang & Young Chel Kwun, 2014. "Viscosity Projection Algorithms for Pseudocontractive Mappings in Hilbert Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:791209
    DOI: 10.1155/2014/791209
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    References listed on IDEAS

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    1. Lu-Chuan Ceng & Qamrul Hasan Ansari & Ching-Feng Wen, 2013. "Implicit Relaxed and Hybrid Methods with Regularization for Minimization Problems and Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-14, April.
    2. Lu-Chuan Ceng & Qamrul Hasan Ansari & Ching-Feng Wen, 2013. "Implicit Relaxed and Hybrid Methods with Regularization for Minimization Problems and Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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