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A SYSTEM OF NONLINEAR SET-VALUED IMPLICIT VARIATIONAL INCLUSIONS IN REAL BANACH SPACES

  • Bai, Chuanzhi (Department of Mathematics, Huaiyin Normal University) ;
  • Yang, Qing (Department of Mathematics, Huaiyin Normal University)
  • Published : 2010.01.31

Abstract

In this paper, we introduce and study a system of nonlinear set-valued implicit variational inclusions (SNSIVI) with relaxed cocoercive mappings in real Banach spaces. By using resolvent operator technique for M-accretive mapping, we construct a new class of iterative algorithms for solving this class of system of set-valued implicit variational inclusions. The convergence of iterative algorithms is proved in q-uniformly smooth Banach spaces. Our results generalize and improve the corresponding results of recent works.

Keywords

system of nonlinear set-valued implicit variational inclusion;resolvent operator, M-accretive mapping;iterative algorithm;convergence

References

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Cited by

  1. Algorithm for Solving a New System of Generalized Variational Inclusions in Hilbert Spaces vol.2013, 2013, https://doi.org/10.1155/2013/461371