The purpose of this work is to study the sufficient and necessary conditions and sufficient conditions on the strong convergence of the implicit iteration process with errors for a finite family of asymptotically nonexpansive mappings in real uniformly convex Banach spaces. The results presented in
On the convergence of implicit iteration process with error for a finite family of asymptotically nonexpansive mappings
β Scribed by S.S. Chang; K.K. Tan; H.W.J. Lee; Chi Kin Chan
- Book ID
- 108175274
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 97 KB
- Volume
- 313
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
In this paper, we consider the weak and strong convergence of implicit iteration process to a common fixed point of I-asymptotically nonexpansive mappings. The main results extend to a finite family of I-asymptotically nonexpansive mappings in a Banach space.
In the present paper, we prove that the modified implicit iteration sequence for a finite family of asymptotically quasi-nonexpansive mappings converges strongly to a common fixed point of the family in a uniformly convex Banach space, requiring one member T in the family to be semicompact. Our resu