𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The existence and non-existence of common fixed points for commuting families of holomorphic mappings

✍ Scribed by Tadeusz Kuczumow; Simeon Reich; David Shoikhet

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
112 KB
Volume
43
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Existence of a holomorphic retraction on
Existence of a holomorphic retraction onto a common fixed point set of a family of commuting holomorphic self-mappings of BHn
✍ Monika BudzyΕ„ska πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 118 KB

## If B n H is a Cartesian product of n Hilbert balls and F is a family of commuting holomorphic self-mappings of B n H with a nonempty common ΓΏxed point set Fix(F), then the set Fix(F) is a holomorphic retract of B n H .

Common Fixed Points of Commuting Holomor
Common Fixed Points of Commuting Holomorphic Maps of the Polydisc Which are Expanding on the Torus
✍ Roberto Tauraso πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 280 KB

Let F and G be two holomorphic maps of the unit polydisc for i=1, ..., n] which are continuous on the closure 2 n of 2 n . According to A. L. Shields [17] (for n=1), D. J. Eustice [4] (for n=2) and L. F. Heath and T. J. Suffridge [8] (for any finite n 1), if F and G commute under composition, they

The retractions onto the common fixed po
The retractions onto the common fixed points of some families and semigroups of mappings
✍ Shahram Saeidi πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 630 KB

## Mapping of type (Ξ³ ) Nonexpansive mapping Retraction Weak limit a b s t r a c t Assume that C is a closed convex subset of a reflexive Banach space E and Ο• = {T i } i∈I is a family of self-mappings on C of type (Ξ³ ) such that F (Ο•), the common fixed point set of Ο•, is nonempty. From our results