A nonlinear theorem of ergodic type
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- by G. Feathers, J. Wayne Pace and W. G. Dotson PDF
- Proc. Amer. Math. Soc. 73 (1979), 35-36 Request permission
Abstract:
A theorem is proved concerning the relationship between a certain collection of mappings and a fixed point for that collection of mappings. The conditions on the mappings are very similar to ones in a paper by W. F. Eberlein.References
- W. F. Eberlein, Abstract ergodic theorems and weak almost periodic functions, Trans. Amer. Math. Soc. 67 (1949), 217–240. MR 36455, DOI 10.1090/S0002-9947-1949-0036455-9
- Zdzisław Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 591–597. MR 211301, DOI 10.1090/S0002-9904-1967-11761-0 J. Wayne Pace, Iterative methods in Banach spaces, Doctoral dissertation, North Carolina State University, Raleigh, N.C., 1972.
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 73 (1979), 35-36
- MSC: Primary 47H99
- DOI: https://doi.org/10.1090/S0002-9939-1979-0512053-X
- MathSciNet review: 512053