Paper Title:
Convergence Theorems for a Finite Family of Strictly Asymptotically Pseudocontractive Mappings in Q-Uniformly Smooth Banach Spaces
| Periodical | Applied Mechanics and Materials (Volumes 50 - 51) |
|---|---|
| Main Theme | Intelligent Structure and Vibration Control |
| Edited by | Shaobo Zhong, Yimin Cheng and Xilong Qu |
| Pages | 432-436 |
| DOI | 10.4028/www.scientific.net/AMM.50-51.432 |
| Citation | Huan Cheng Zhang et al., 2011, Applied Mechanics and Materials, 50-51, 432 |
| Online since | February, 2011 |
| Authors | Huan Cheng Zhang, Ai Min Yang, Ya Mian Peng, Jing Guo Qu |
| Keywords | Accretive Operator, Common Zeros, Composite Iterative, Resolvent, Uniformly Gateaux Differentiable |
| Price | US$ 28,- |
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Abstract
Let E be a real q-uniformly smooth and uniformly convex Banach space and K a nonempty closed convex subset of E. Let Ti : K ! K, i = 1; 2; : : : ;N be ki-strictly asymptotically pseudocon- tractive mappings with \N i=1F (Ti) 6= ;, where F(Ti) = fx 2 K : Tix = xg. Let fxng be the sequence generated by xn+1 = (1 ¡ ®n)xn + ®nTn [n]xn; where f®ng is a sequence in [0,1] satisfying certain conditions and Tn [n] = Ti n; i = n(modN). Weak and strong convergence theorems for the iterative approximation of common ¯xed points of the family fTigN i=1 are proved.
