# On unrestricted products of (W) contractions

Colloquium Mathematicae (2000)

- Volume: 86, Issue: 2, page 163-170
- ISSN: 0010-1354

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topBartoszek, W.. "On unrestricted products of (W) contractions." Colloquium Mathematicae 86.2 (2000): 163-170. <http://eudml.org/doc/210846>.

@article{Bartoszek2000,

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.},

author = {Bartoszek, W.},

journal = {Colloquium Mathematicae},

keywords = {weak convergence; unrestricted products; linear contraction; common fixed point},

language = {eng},

number = {2},

pages = {163-170},

title = {On unrestricted products of (W) contractions},

url = {http://eudml.org/doc/210846},

volume = {86},

year = {2000},

}

TY - JOUR

AU - Bartoszek, W.

TI - On unrestricted products of (W) contractions

JO - Colloquium Mathematicae

PY - 2000

VL - 86

IS - 2

SP - 163

EP - 170

AB - 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.

LA - eng

KW - weak convergence; unrestricted products; linear contraction; common fixed point

UR - http://eudml.org/doc/210846

ER -

## References

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