On the solution of linear functional equations by averaging iteration.

Author:
W. G. Dotson

Journal:
Proc. Amer. Math. Soc. **25** (1970), 504-506

MSC:
Primary 47.85

DOI:
https://doi.org/10.1090/S0002-9939-1970-0259700-X

MathSciNet review:
0259700

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References | Similar Articles | Additional Information

**[1]**F. E. Browder and W. V. Petryshyn,*The solution by iteration of linear functional equations in Banach spaces*, Bull. Amer. Math Soc.**72**(1966), 566-570. MR**32**#8155a. MR**0190744 (32:8155a)****[2]**-,*The solution by iteration of nonlinear functional equations in Banach spaces*, Bull. Amer. Math. Soc.**72**(1966), 571-575. MR**32**#8155b. MR**0190745 (32:8155b)****[3]**W. G. Dotson, Jr.,*An application of ergodic theory to the solution of linear functional equations in Banach spaces*, Bull. Amer. Math. Soc.**75**(1969), 347-352. MR**0239438 (39:795)****[4]**Curtis Outlaw and C. W. Groetsch,*Averaging iteration in a Banach space*, Bull. Amer. Math. Soc.**75**(1969), 430-432. MR**0239478 (39:835)**

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DOI:
https://doi.org/10.1090/S0002-9939-1970-0259700-X

Article copyright:
© Copyright 1970
American Mathematical Society