J4 ›› 2010, Vol. 45 ›› Issue (3): 96-101.

• Articles • Previous Articles     Next Articles

Solving a variational inclusion with P-η-accretive operators in real q-uniformly smooth Banach spaces

 BI Liang-Liang,  Fan-Li-Ya   

  1. School of Mathematics Science, Liaocheng University,  Liaocheng 252059, Shandong, China
  • Received:2008-06-23 Online:2010-03-16 Published:2010-04-02
  • About author: BI Liang-liang(1983-), female, graduate student,major in the research of the optimization theory and its applications. Email: biliang8325@126.com
  • Supported by:

    Supported by the National Natural Science Foundation of China (10871226) and Natural Science Foundation of Shandong Province(ZR2009AL006)

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Abstract:

A kind of variational inclusions with P-η-accretive operators is introduced in the setting of real q-uniformly smooth Banach spaces. An iterative method for solving this kind of variational inclusion is presented and analyzed by means of the resolvent operators of P-η-accretive operators.

Key words: P-η-accretive operator; resolvent operator; variational inclusion; iterative algorithm; real q-uniformly smooth Banach space

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