| Abstrakt: |
Suppose E is a Banach space with certain geometric properties and K is a nonempty closed convex subset of E. We prove that if a certain iterative sequence converges to the unique fixed point of a Φ-pseudocontractive mapping T:K→K under certain conditions then such an iterative process can be used to approximate the unique common fixed point of a finite family of Φ-pseudocontractive self mappings of K. Our results extend and generalize the results in Chidume (Proc Am Math Soc 120:2641-2649, 1994; Proc Am Math Soc 9:545-551, 1998), Huang (Comput Math Appl 36:13-21, 1998), Liu (Comput Math Appl 45:623-634, 2003), Osilike (Math Anal Appl 200:259-271, 1996; Nonlinear Anal 36:1-9, 1999) and many others. [ABSTRACT FROM AUTHOR] |
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