WEAK CONVERGENCE THEOREMS FOR ALMOST-ORBITS OF AN ASYMPTOTICALLY NONEXPANSIVE SEMIGROUP IN BANACH SPACES

  • Kim, J.K. (Department of Mathematics Kyungnam University) ;
  • Nam, Y.M. (Department of Mathematics Kyungnam University) ;
  • Jin, B.J. (Department of Mathematics Kyungnam University)
  • Published : 1998.07.01

Abstract

In this paper, we deal with the asymptotic behavior for the almost-orbits {u(t)} of an asymptotically nonexpansive semigroup S = {S(t) : t $\in$ G} for a right reversible semitopological semigroup G, defined on a suitable subset C of Banach spaces with the Opial's condition, locally uniform Opial condition, or uniform Opial condition.

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