Split Monotone Variational Inclusions

@article{Moudafi2011SplitMV,
  title={Split Monotone Variational Inclusions},
  author={Abdellatif Moudafi},
  journal={J. Optimization Theory and Applications},
  year={2011},
  volume={150},
  pages={275-283}
}
Based on the very recent work by Censor-Gibali-Reich [7], we propose an extension of their new variational problem (Split Variational Inequality Problem) to monotone variational inclusions. Relying on the Krasnoselskii-Mann Theorem for averaged operators, we analyze an algorithm for solving a new split monotone inclusions under weaker conditions. Our results improve and develop previously discussed Split Variational Inequality Problem, feasibility problems and related problems and algorithms… CONTINUE READING
Highly Influential
This paper has highly influenced 19 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS

From This Paper

Topics from this paper.
31 Citations
15 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 31 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 15 references

Maximal monotone operators and maximal monotone functions for equilibrium problems

  • K. Aoyama, Y. Kimura, W. Takahashi
  • Journal of Convex Analysis
  • 2008
Highly Influential
3 Excerpts

Mean value methods in iteration

  • W. Mann
  • Proceedings American Mathematical Society
  • 1953
Highly Influential
1 Excerpt

A note on the multiple-set split feasibility problem in Hilbert space

  • E. Masad, S. Reich
  • J. Nonlinear Convex Analysis
  • 2007
1 Excerpt

A variable Krasnosel’skii-Mann algorithm and the multiple-set split feasibility problem

  • H. K. Xu
  • Inverse Problems
  • 2006
1 Excerpt

Similar Papers

Loading similar papers…