Common Fixed Points Iteration Processes for a Finite Family of Asymptotically Nonexpansive Mappings

Verfasser / Beitragende:
[Jui-Chi Huang]
Ort, Verlag, Jahr:
2004
Enthalten in:
Georgian Mathematical Journal, 11/1(2004-03), 83-92
Format:
Artikel (online)
ID: 378906070
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100 1 |a Huang  |D Jui-Chi  |u Center for General Education, Kuang Wu Institute of Technology, Peito, Taipei, Taiwan, 11271, R.O.C. E-mail: juichi@kwit.edu.tw 
245 1 0 |a Common Fixed Points Iteration Processes for a Finite Family of Asymptotically Nonexpansive Mappings  |h [Elektronische Daten]  |c [Jui-Chi Huang] 
520 3 |a Let be a uniformly convex Banach space which satisfies Opial's condition or its dual * has the Kadec-Klee property, a nonempty closed convex subset of , and : → an asymptotically nonexpansive mapping for each = 1, 2, . . . , . Suppose { } is generated iteratively by where (0) = , is the identity map and {α ( )} is a suitable sequence in [0, 1]. If the set of common fixed points of is nonempty, then weak convergence of { } to some is obtained. 
540 |a © Heldermann Verlag 
690 7 |a Asymptotically nonexpansive mapping  |2 nationallicence 
690 7 |a Fixed point  |2 nationallicence 
690 7 |a uniformly convex Banach space  |2 nationallicence 
690 7 |a Opial's condition  |2 nationallicence 
690 7 |a Kadec-Klee property  |2 nationallicence 
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