Fixed points of nonexpansive mappings in banach lattices

M. A. Khamsi; Ph Turpin

doi:10.1090/S0002-9939-1989-0973841-5

Fixed points of nonexpansive mappings in banach lattices

M. A. Khamsi, Ph Turpin

Mathematics

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10 Scopus citations

Abstract

We prove the existence of a fixed point for a nonexpansive mapping operating in a convex subset of a Banach lattice E compact for some natural topology t on E. In particular, if τ is a Banach space with a 1-unconditional basis we can take for τ the topology of coordinatewise convergence.

Original language	British English
Pages (from-to)	102-110
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	105
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1989-0973841-5
State	Published - Jan 1989

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title = "Fixed points of nonexpansive mappings in banach lattices",

abstract = "We prove the existence of a fixed point for a nonexpansive mapping operating in a convex subset of a Banach lattice E compact for some natural topology t on E. In particular, if τ is a Banach space with a 1-unconditional basis we can take for τ the topology of coordinatewise convergence.",

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AB - We prove the existence of a fixed point for a nonexpansive mapping operating in a convex subset of a Banach lattice E compact for some natural topology t on E. In particular, if τ is a Banach space with a 1-unconditional basis we can take for τ the topology of coordinatewise convergence.

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Fixed points of nonexpansive mappings in banach lattices

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