An iteration process for nonexpansive mappings with applications to fixed point theory in product spaces
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- by W. A. Kirk PDF
- Proc. Amer. Math. Soc. 107 (1989), 411-415 Request permission
Abstract:
A uniform transfinite iteration procedure for selecting fixed points of nonexpansive mappings is introduced. This procedure, which applies to arbitrary nonexpansive mappings in Banach spaces having Kadec-Klee norm and to strictly contractive mappings in reflexive Banach spaces, is used to generalize a fixed point theorem of Kirk and Sternfeld for nonexpansive mappings in product spaces.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 411-415
- MSC: Primary 47H10; Secondary 47H09
- DOI: https://doi.org/10.1090/S0002-9939-1989-0941325-6
- MathSciNet review: 941325