Fixed Points of Holomorphic Maps in Banach Spaces

DOI10.2307/2041120zbMath0347.47032OpenAlexW4246927706MaRDI QIDQ4116996

Ted J. Suffridge, Thomas L. Hayden

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2041120

Mathematics Subject Classification ID

Fixed-point theorems (47H10)

Related Items (9)

Some properties of Fredholm mappings in Banach analytic manifolds ⋮ Random iterations, fixed points and invariant CRF-horospheres in complex Banach spaces ⋮ Fixed points and invariant domains of holomorphic mappings of the Hilbert ball ⋮ On the size of balls covered by analytic transformations ⋮ Uniform convexity of the hyperbolic metric and fixed points of holomorphic mappings in the Hilbert ball ⋮ Iterations of holomorphic maps of infinite dimensional homogeneous domains ⋮ On fixed points of holomorphic automorphisms ⋮ Random iterations of holomorphic contractions in locally convex spaces and of weaker contractions in uniform spaces ⋮ Points fixes d'une application holomorphe d'un domaine borné dans lui- même. (Fixed points of a holomorphic mapping of a bounded domain into itself)

Cites Work

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• Dissipative operators in a Banach space
• Construction of fixed points of demicompact mappings in Hilbert space
• Construction of fixed points of nonlinear mappings in Hilbert space
• Biholomorphic maps in Hilbert space have a fixed point
• On product formulas for nonlinear semigroups
• The solution by iteration of linear functional equations in Banach spaces
• On symplectic mappings of contraction operators
• Nonlinear mappings of nonexpansive and accretive type in Banach spaces
• Remarks on Pseudo-Contractive Mappings
• Symplectic Geometry

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