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On Convergence of Proximal Methods to Fixed Points of Extremal Mappings

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Part of the book series: Operations Research Proceedings ((ORP,volume 1994))

Summary

The problem of finding the equilibrium points of an extremal mapping is considered. The methods controlled by means of feedback are suggested to compute the fixed points of an extremal mapping. Their convergence to the solution of the equilibrium problem is proved.

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References

  1. Antipin, A. S.: Inverse optimization problem: problem formulation and approaches to its solution. In: Inverse problems of mathematical programming, Moscow, 1992, pp. 6–56 (in Russian).

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  3. Nikaido, H.; Isoda, K,: Note on Noncooperative Convex Games. Pacific Journal of Mathematics, 1955, Vol. 5, Supple. 1, pp. 807–815.

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  4. Antipin, A. S.: Controlled proximal differential systems for saddle problems. Differential Equations, 1992, Vol. 28, No. 11, pp. 1498–1510.

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© 1995 Springer-Verlag Berlin Heidelberg

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Antipin, A.S. (1995). On Convergence of Proximal Methods to Fixed Points of Extremal Mappings. In: Derigs, U., Bachem, A., Drexl, A. (eds) Operations Research Proceedings 1994. Operations Research Proceedings, vol 1994. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79459-9_3

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  • DOI: https://doi.org/10.1007/978-3-642-79459-9_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58793-4

  • Online ISBN: 978-3-642-79459-9

  • eBook Packages: Springer Book Archive

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