Acta mathematica scientia,Series B

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ASYMPTOTIC BEHAVIOR FOR COMMUTATIVE SEMIGROUPS OF ALMOST ASYMPTOTICALLY NONEXPANSIVE TYPE MAPPINGS

Zeng Luchuan   

  1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
  • Received:2003-12-08 Revised:2004-09-14 Online:2006-04-20 Published:2006-04-20
  • Contact: Zeng Luchuan

Abstract:

This article introduces the concept of commutative semigroups of almost asymptotically nonexpansive-type mappings in a Banach space X which has the Opial property and whose norm is UKK, and establishes the weak
convergence theorems for almost-orbits of this class of commutative semigroups. The author improves, extends and develops some recent and earlier results.

Key words: Semitopological semigroup, almost asymptotically nonexpansive type mapping, almost orbit, asymptotic

CLC Number: 

  • 47H10
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