Fixed point theorems for holomorphic mappings and operator theory in indefinite metric spaces

DOI10.1007/BF01378779zbMath0837.46033OpenAlexW2044099171MaRDI QIDQ1907225

Simeon Reich, David M. Shoikhet, Victor A. Khatskevich

Publication date: 20 February 1996

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01378779

zbMATH Keywords

spaces with an indefinite metricfixed point for holomorphic mappingsone-parameter semigroups in Banach spaces

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Fixed-point theorems (47H10) Infinite-dimensional holomorphy (46G20) Linear operators on spaces with an indefinite metric (47B50)

Related Items (3)

Results and conjectures in holomorphic fixed point theory ⋮ Inexact orbits of holomorphic mappings in complex Banach spaces ⋮ Some inequalities for the horosphere function and hyperbolically nonexpansive mappings on the Hilbert ball

Cites Work

• Points fixes d'applications holomorphes dans un produit fini de boules- unités d'espaces de Hilbert
• Zeros of m-accretive operators in Banach spaces
• On fixed point theorems obtained from existence theorems for differential equations
• Powers of plus-operators
• Some properties of Fredholm mappings in Banach analytic manifolds
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