Rigid sets and nonexpansive mappings

DOI10.1090/S0002-9939-97-04053-7zbMath0888.47033OpenAlexW1537835078MaRDI QIDQ4372412

Giovanni Di Lena, Basilio Messano, Delfina Roux

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-04053-7

zbMATH Keywords

polyhedral normlimit setsnonexpansive mappingsrigid sets\(S\)-space

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items

Rigid sets

Cites Work

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• Some characterizations of convex polyhedra
• Nonlinear models of diffusion on a finite space
• Omega limit sets of nonexpansive maps: Finiteness and cardinality estimates
• Estimates of the periodic points for nonexpansive operators
• Finsler structures for the part metric and Hilbert's projective metric and applications to ordinary differential equations
• A Nonlinear Perron-Frobenius Theorem
• Convergence of iterates of a nonlinear operator arising in statistical mechanics
• A limit set trichotomy for self-mappings of normal cones in banach spaces
• Lattice isomorphisms and iterates of nonexpansive maps

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