Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (3): 669-673.

• Articles • Previous Articles     Next Articles

Remarks of Convergence Theorems of Mann Iterative Process with Errors for Φ-Hemicontractive Mappings in Uniformly Smooth Real Banach Spaces

 XUE Zhi-Qun, LV Gui-Wen   

  1. Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043
  • Received:2012-04-22 Revised:2013-12-30 Online:2014-06-25 Published:2014-06-25
  • Supported by:

    河北省自然科学基金(A2011210033)资助

Abstract:

In this paper, we obtain the convergence of Mann iterative process with errors for generalized Lipschitz  Φ-hemicontractive mappings in uniformly smooth real Banach spaces. Our results improve and extend the corresponding results of [1, 7, 10--12].

Key words: Generalized Lipschitz,  Φ-hemicontractive mapping, Mann iteration with errors, Uniformly smooth Banach space

CLC Number: 

  • 47H06
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