Journal of applied mathematics & informatics
- Volume 26 Issue 1_2
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- Pages.325-336
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- 2008
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
WEAK AND STRONG CONVERGENCE OF THREE-STEP ITERATIONS WITH ERRORS FOR TWO ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Abstract
In this paper, we prove the weak and strong convergence of the three-step iterative scheme with errors to a common fixed point for two asymptotically nonexpansive mappings in a uniformly convex Banach space under a condition weaker than compactness. Our theorems improve and generalize some previous results.
Keywords
- Uniformly convex Banach space;
- Opial's condition;
- asymptotically nonexpansive mappings;
- common fixed point;
- weak and strong convergence