Hybrid Iteration Method for Common Fixed Points of a Finite Family of Nonexpansive Mappings in Banach Spaces

Lin Wang, Yi-Juan Chen and Rong-Chuan Du

Mathematical Problems in Engineering, 2009, vol. 2009, 1-9

Abstract:

Let be a real uniformly convex Banach space, and let be nonexpansive mappings from into itself with , where . From an arbitrary initial point , hybrid iteration scheme is defined as follows: , , where is an -Lipschitzian mapping, , , , , , and for some . Under some suitable conditions, the strong and weak convergence theorems of to a common fixed point of the mappings are obtained. The results presented in this paper extend and improve the results of Wang (2007) and partially improve the results of Osilike, Isiogugu, and Nwokoro (2007).

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:678519

DOI: 10.1155/2009/678519

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