A+ CATEGORY SCIENTIFIC UNIT

On unrestricted products of (W) contractions

Volume 86 / 2000

W. Bartoszek Colloquium Mathematicum 86 (2000), 163-170 DOI: 10.4064/cm-86-2-163-170

Abstract

Given a family of (W) contractions $T_1, ..., T_N$ on a reflexive Banach space X we discuss unrestricted sequences $T_{r_n}∘...∘T_{r_1}(x)$. We show that they converge weakly to a common fixed point, which depends only on x and not on the order of the operators $T_{r_n}$ if and only if the weak operator closed semigroups generated by $T_1, ..., T_N$ are right amenable.

Authors

  • W. Bartoszek

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