Auxiliary problems and algorithm for a system of generalized variational-like inequality problems

@article{Kazmi2007AuxiliaryPA,
  title={Auxiliary problems and algorithm for a system of generalized variational-like inequality problems},
  author={Kaleem Raza Kazmi and F. A. Khan},
  journal={Applied Mathematics and Computation},
  year={2007},
  volume={187},
  pages={789-796}
}
In this paper, we consider a system of generalized variational-like inequality problems (SGVLIP) involving nondifferentiable terms, and its related auxiliary problems in real Hilbert spaces. An existence theorem for auxiliary problems is established. Further, by exploiting this theorem, an algorithm for the SGVLIP is constructed. Furthermore, we prove the existence of a unique solution of SGVLIP and discuss the convergence analysis of the algorithm. The technique and results presented in this… CONTINUE READING

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