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Approximation of *-nonexpansive random multivalued operators on Banach spaces
2004
Journal of the Australian Mathematical Society
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We establish the existence and approximation of solutions to the operator inclusion y e Ty for deterministic and random cases for a nonexpansive and *-nonexpansive multivalued mapping 7" defined on a closed bounded (not necessarily convex) subset C of a Banach space. We also prove random fixed points and approximation results for *-nonexpansive random operators defined on an unbounded subset C of a uniformly convex Banach space. 2000 Mathematics subject classification: primary 47H40,47H10, 41A65,47H09, 60H25.
doi:10.1017/s1446788700008697
fatcat:g73up3jekvcyffsgiwcmblhjxq