Remarks on fixed points and boundaries
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- by W. A. Kirk PDF
- Proc. Amer. Math. Soc. 87 (1983), 62-64 Request permission
Abstract:
It is shown that three recent fixed point theorems of E. Chandler for nonexpansive mappings defined on compact subsets of strictly convex normed linear spaces hold in arbitrary normed linear spaces.References
- Nadim A. Assad and W. A. Kirk, Fixed point theorems for set-valued mappings of contractive type, Pacific J. Math. 43 (1972), 553–562. MR 341459
- Eric Chandler, Fixed points and boundaries, Proc. Amer. Math. Soc. 82 (1981), no. 3, 398–400. MR 612728, DOI 10.1090/S0002-9939-1981-0612728-7
- C. M. Dafermos and M. Slemrod, Asymptotic behavior of nonlinear contraction semigroups, J. Functional Analysis 13 (1973), 97–106. MR 0346611, DOI 10.1016/0022-1236(73)90069-4
- Ralph DeMarr, Common fixed points for commuting contraction mappings, Pacific J. Math. 13 (1963), 1139–1141. MR 159229 Freudenthal and W. Hurewicz, Dehnungen, Verkurzungen, Isometrien, Fund. Math. 26 (1936). 120-122.
- W. A. Kirk, Locally nonexpansive mappings in Banach spaces, Fixed point theory (Sherbrooke, Que., 1980) Lecture Notes in Math., vol. 886, Springer, Berlin-New York, 1981, pp. 178–198. MR 643007
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 62-64
- MSC: Primary 47H10
- DOI: https://doi.org/10.1090/S0002-9939-1983-0677232-0
- MathSciNet review: 677232