East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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A SYSTEM OF VARIATIONAL INCLUSIONS IN BANACH SPACES

  • Liu, Zeqing (DEPARTMENT OF MATHEMATICS LIAONING NORMAL UNIVERSITY) ;
  • Zhao, Liangshi (DEPARTMENT OF MATHEMATICS LIAONING NORMAL UNIVERSITY) ;
  • Hwang, Hong-Taek (DEPARTMENT OF APPLIED MATHEMATICS KUMOH NATIONAL INSTITUTE OF TECHNOLOGY) ;
  • Kang, Shin-Min (DEPARTMENT OF MATHEMATICS AND RINS GYEONGSANG NATIONAL UNIVERSITY)
  • Received : 2010.07.28
  • Accepted : 2010.08.05
  • Published : 2010.11.30
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Abstract

A system of variational inclusions with (A, ${\eta}$, m)-accretive operators in real q-uniformly smooth Banach spaces is introduced. Using the resolvent operator technique associated with (A, ${\eta}$, m)-accretive operators, we prove the existence and uniqueness of solutions for this system of variational inclusions and propose a Mann type iterative algorithm for approximating the unique solution for the system of variational inclusions.

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