Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ITERATIVE ALGORITHM FOR A NEW SYSTEM OF GENERALIZED SET-VALUED QUASI-VARIATIONAL-LIKE INCLUSIONS WITH (A, ${\eta}$)-ACCRETIVE MAPPINGS IN BANACH SPACES

  • Received : 2011.12.22
  • Accepted : 2012.06.06
  • Published : 2012.09.30
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Abstract

In this paper, we introduce and study a new system of generalized set-valued quasi-variational-like inclusions with (A, ${\eta}$)-accretive mapping in Banach spaces. By using the resolvent operator associated with (A, ${\eta}$)-accretive mappings, 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 in Banach spaces. The results presented in this paper extend and improve some known results in the literature.

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References

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