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

DOI10.1016/S0362-546X(99)00175-3zbMath0968.47025OpenAlexW2077699000MaRDI QIDQ1588342

Simeon Reich, Tadeusz Kuczumow, David M. Shoikhet

Publication date: 3 December 2000

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00175-3

zbMATH Keywords

Cauchy problemnonlinear semigroups of holomorphic mappingscommon fixed pointsstationary pointscommuting families of holomorphic or \(k_D\)-nonexpansive mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear evolution equations (47J35)

Related Items

Holomorphic retracts in \(B_H^{\infty}\), Ergodicity, numerical range, and fixed points of holomorphic mappings, Theorems of Denjoy-Wolff type, Common fixed point theorems for a finite family of discontinuous and noncommutative maps, Existence of a holomorphic retraction onto a common fixed point set of a family of commuting holomorphic self-mappings of \(B _{H} ^{n}\)

Cites Work

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