• East Asian mathematical journal
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• v.15 no.2
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• pp.301-312
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• 1999

In this paper, we study the nonlinear ergodic retraction theorems for an asymptotically nonexpansive semigroup with nonconvex and nonclosed domains in Hilbert spaces.

• Communications of the Korean Mathematical Society
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• v.12 no.4
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• pp.1033-1038
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• 1997

A functional central limit theorem for a class of nonlinear stationary Markov processes which are geometrically Harris ergodic is derived.

• Bulletin of the Korean Mathematical Society
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• v.38 no.3
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• pp.587-603
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• 2001

The purpose of this paper is to study the nonlinear ergodic theorems and asymptotic behavior for an almost-orbit of asymptotically nonexpansive type mappings in a uniformly convex Banach space with Opial’s condition.

• Journal of the Korean Mathematical Society
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• v.37 no.1
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• pp.45-53
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• 2000

Existence of a unique invariant probability is considered for a class of Markov processes which may not be irreducible and a functional central limit theorem for a class of nonlinear irreducible uniformly ergodic processes is derived as well.