Inexact orbits of holomorphic mappings in complex Banach spaces

DOI10.1007/S12215-014-0171-9zbMath1323.47059OpenAlexW1982018002MaRDI QIDQ2255135

Simeon Reich, Zaslavski, Alexander J.

Publication date: 6 February 2015

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-014-0171-9

zbMATH Keywords

stabilityfixed point theoremsBanach spaceKobayashi metricinexact orbititeration theoryinfinite-dimensional holomorphy

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Infinite-dimensional holomorphy (46G20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Generic properties, structural stability of dynamical systems (37C20) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Cites Work

• Three generic results in holomorphic fixed point theory
• Fixed points of holomorphic mappings for domains in Banach spaces
• Fixed point theorems for holomorphic mappings and operator theory in indefinite metric spaces
• Infinite products of holomorphic mappings
• Inexact orbits of nonexpansive mappings
• Invariant distances on complex manifolds and holomorphic mappings
• Genericity in nonlinear analysis
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