Convergence Theorems for Fixed Points of Multivalued Mappings in Hilbert Spaces

N. Djitte and M. Sene

International Journal of Analysis, 2014, vol. 2014, 1-7

Abstract:

Let be a real Hilbert space and a nonempty closed convex subset of . Suppose is a multivalued Lipschitz pseudocontractive mapping such that . An Ishikawa-type iterative algorithm is constructed and it is shown that, for the corresponding sequence , under appropriate conditions on the iteration parameters, holds. Finally, convergence theorems are proved under approximate additional conditions. Our theorems are significant improvement on important recent results of Panyanak (2007) and Sastry and Babu (2005).

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:269786

DOI: 10.1155/2014/269786

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