Approximation of *-nonexpansive random multivalued operators on Banach spaces

J. Aust. Math. Soc. 76 (2004), 51-66

Approximation of *-nonexpansive random multivalued operators on Banach spaces

Ismat Beg
Lahore University of Management Sciences
Lahore
Pakistan
ibeg@lums.edu.pk

A. R. Khan
KFUPM
Dhahran
Saudi Arabia

and

N. Hussain
Bahauddin Zakariya University
Multan
Pakistan

Abstract

We establish the existence and approximation of solutions to the operator inclusion $y\in Ty$ for deterministic and random cases for a nonexpansive and *-nonexpansive multivalued mapping

defined on a closed bounded (not necessarily convex) subset

of a Banach space. We also prove random fixed points and approximation results for *-nonexpansive random operators defined on an unbounded subset

of a uniformly convex Banach space.

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