Approximating common fixed points of families of quasi-nonexpansive mappings
This paper deals with a family of quasi-nonexpansive mappings in a uniformly convex Banach space, and the convergence of iterates generated by this family. A fixed point theorem for two quasi-nonexpansive mappings is then proved. This theorem is then extended for a finite family of quasinonexpansive...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000354 |
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| Summary: | This paper deals with a family of quasi-nonexpansive mappings in a uniformly convex
Banach space, and the convergence of iterates generated by this family. A fixed point theorem for two
quasi-nonexpansive mappings is then proved. This theorem is then extended for a finite family of quasinonexpansive
mappings. It is shown that Ishikawa's [1] result follows as special cases of results proved
in this paper. |
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| ISSN: | 0161-1712 1687-0425 |