On fixed points of nonexpansive set-valued mappings
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- by R. K. Bose and R. N. Mukherjee PDF
- Proc. Amer. Math. Soc. 72 (1978), 97-98 Request permission
Abstract:
A theorem is proved concerning the existence of fixed points of nonexpansive set-valued mappings. This generalizes a result of Dotson, Jr. [1].References
- W. G. Dotson Jr., On fixed points of nonexpansive mappings in nonconvex sets, Proc. Amer. Math. Soc. 38 (1973), 155–156. MR 313894, DOI 10.1090/S0002-9939-1973-0313894-9
- Sam B. Nadler Jr., Multi-valued contraction mappings, Pacific J. Math. 30 (1969), 475–488. MR 254828
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 72 (1978), 97-98
- MSC: Primary 54H25; Secondary 47H10
- DOI: https://doi.org/10.1090/S0002-9939-1978-0488002-9
- MathSciNet review: 0488002