Approximation of *-nonexpansive random multivalued operators on Banach spaces

Ismat Beg, A. R. Khan, N. Hussain
2004 Journal of the Australian Mathematical Society  
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