S. L. SINGH and ASHISH KUMAR
Nonlinear ergodic theory
Pages 55-73
Received: 12 February 2009
Accepted in revised form: 13 May 2009
Mathematics Subject Classification (2000): 47H10 - 47A35 - 40G05 - 54H25
Keywords:
Fixed point, Cesàro means, ergodic
theorem, almost-convergent, nonexpansive maps, asymptotically
nonexpansive maps, asymptotically nonexpansive maps in the
intermediate sense, semigroups, amenable semigroups, nonexpansive
retraction.
Abstract J.-B. Baillon is considered the father of nonlinear ergodic theory and its deep applications in nonlinear analysis. In this paper, we present a development of this relatively young and exciting theory.