Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Iterative Algorithm for a New System of Variational Inclusions with B-monotone Operators in Banach Spaces

  • Lee, Sang Keun (Department of Mathematics Education, Gyeongsang National University) ;
  • Jeong, Jae Ug (Department of Mathematics, Dongeui University)
  • Received : 2010.11.22
  • Accepted : 2013.04.02
  • Published : 2013.09.23
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Abstract

In this paper, we introduce and study a new system of variational inclusions with B-monotone operators in Banach spaces. By using the proximal mapping associated with B-monotone operator, we construct a new iterative algorithm for approximating the solution of this system of variational inclusions. We also prove the existence of solutions and the convergence of the sequences generated by the algorithm for this system of variational inclusions. The results presented in this paper extend and improve some known results in the literature.

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References

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