Approximation of *-nonexpansive random multivalued operators on Banach spaces

Ismat Beg, Abdul Rahim Khan, Nawab Hussain · Journal of the Australian Mathematical Society · 2004

Abstract We establish the existence and approximation of solutions to the operator inclusiony∈Tyfor deterministic and random cases for a nonexpansive and *-nonexpansive multivalued mappingTdefined on a closed bounded (not necessarily convex) subsetCof a Banach space. We also prover random fixed points and approximation results for*-nonexpansive random operators defined on an unbounded subjectCof a uniformly convex Banach space.

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