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Existence of common random fixed point and random best approximation for non-commuting random operators
by Hemant Kumar Nashine

Vol. 5 No. 1 (2010) P.25~P.40

ABSTRACT

We present existence of common random fixed point as random best approximation results for non-commuting random operators. These results improve, extend and generalize some existing known results in the literature.

KEYWORDS
Asymptotically nonexpansive maps, uniformly asymptotically regular map, random best approximation, random fixed point, random operator, nonexpansive mapping, Banach operator, $R$-weakly commuting maps, $R$-subweakly commuting maps, uniformly $R$-subweakly commuting maps

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 41A50, 41A65, 47H10, 60H25

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