Articles

ASYMPTOTIC BEHAVIOR FOR COMMUTATIVE SEMIGROUPS OF ALMOST ASYMPTOTICALLY NONEXPANSIVE TYPE MAPPINGS

  • Zeng Luchuan
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  • Department of Mathematics, Shanghai Normal University, Shanghai 200234, China

Received date: 2003-12-08

  Revised date: 2004-09-14

  Online published: 2006-04-20

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.

Cite this article

Zeng Luchuan . ASYMPTOTIC BEHAVIOR FOR COMMUTATIVE SEMIGROUPS OF ALMOST ASYMPTOTICALLY NONEXPANSIVE TYPE MAPPINGS[J]. Acta mathematica scientia, Series B, 2006 , 26(2) : 246 -254 . DOI: 10.1016/S0252-9602(06)60046-5

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