Determining fixed points of nonexpansive mappings is a frequent problem in mathematics and physical sciences. An algorithm for finding common fixed points of nonexpansive mappings in Hilbert space, essentially due to Halpern, is analyzed. The main theorem extends Wittmann's recent work and partially
β¦ LIBER β¦
Construction of fixed points of demicompact mappings in Hilbert space
β Scribed by W.V Petryshyn
- Publisher
- Elsevier Science
- Year
- 1966
- Tongue
- English
- Weight
- 398 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0022-247X
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We introduce a new iteration scheme for averaged mappings in Hilbert spaces and prove that the iterates converge strongly to common fixed points of the mappings. The main theorem extends a recent result of Shimizu and Takahashi [T. Shimizu, W. Takahashi, Strong convergence to common fixed points of