Turkish Journal of Mathematics
DOI

Abstract
Let (\Omega, \Sigma) be a measurable space, with \sum a sigmaalgebra of subsets of \Omega, and let E be a nonempty bounded closed convex and separable subset of a Banach space X, whose characteristic of noncompact convexity is less than 1. We prove that a multivalued nonexpansive, nonself operator T: \Omega \times E \rightarrow KC(X) satisfying an inwardness condition and itself being a 1\chicontractive nonexpansive mapping has a random fixed point. We also prove that a multivalued nonexpansive, nonself operator T:\Omega\times E\rightarrow KC(X) with a uniformly convex X satisfying an inwardness condition has a random fixed point.
Keywords
Random fixed point, nonself mappings, Nonexpansive random operator, inwardness condition
First Page
359
Last Page
372
Recommended Citation
KUMAM, POOM and PLUBTIENG, SOMYOT (2006) "Some Random Fixed Point Theorems for NonSelf Nonexpansive Random Operators," Turkish Journal of Mathematics: Vol. 30: No. 4, Article 2. Available at: https://journals.tubitak.gov.tr/math/vol30/iss4/2