Continuous dependence of fixed point sets
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- by J. T. Markin PDF
- Proc. Amer. Math. Soc. 38 (1973), 545-547 Request permission
Abstract:
The stability of the fixed point sets of a uniformly convergent sequence of set valued contractions is proved under the assumption that the maps are defined on a closed bounded subset $B$ of Hilbert space and take values in the family of nonempty closed convex subsets of $B$.References
- Sam B. Nadler Jr., Multi-valued contraction mappings, Pacific J. Math. 30 (1969), 475–488. MR 254828
- J. Dieudonné, Foundations of modern analysis, Pure and Applied Mathematics, Vol. X, Academic Press, New York-London, 1960. MR 0120319
- A. F. Filippov, Classical solutions of differential equations with multi-valued right-hand side, SIAM J. Control 5 (1967), 609–621. MR 0220995
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 545-547
- MSC: Primary 47H10
- DOI: https://doi.org/10.1090/S0002-9939-1973-0313897-4
- MathSciNet review: 0313897