Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 11 Issue 1
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- Pages.131-137
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- 1996
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
WEAK CONVERGENCE THEOREMS FOR NON-LIPSCHITZIAN ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX BANACH SPACES
Abstract
In this paper, we give a necessary and sufficient condition for the weak convergence of trajectories of non-lipschitzian asymptotically nonexpansive mappings.
Keywords
- Uniformly convex Banach space;
- asymptotic center;
- Opial's condition;
- non-lipschitzian asymptotically nonexpansive mapping;
- fixed point;
- asymptotic regularity