International Journal of Functional Analysis, Operator Theory and Applications
Volume 6, Issue 1, Pages 29 - 46
(February 2014)
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WEAK AND STRONG CONVERGENCE RESULTS FOR CERTAIN CLASSES OF MULTIVALUED MAPPINGS IN HILBERT SPACES
B. G. Akuchu and C. A. Nse
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Abstract:
We show that in the recent results in [1], concerning the weak and strong convergence theorems and demi-closedness property for certain classes of multivalued mappings, some of the conditions in the theorems are either redundant or strong. We relax, fine-tune and drop some of the conditions and therefore improve the results in [1]. |
| Keywords and phrases: proximinal sets, Hilbert spaces, multivalued nonexpansive-type mappings, multivalued k-strictly pseudocontractive-type mappings, multivalued pseudocontractive-type mappings. |
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