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Automatic continuity and openness of convex relations

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posted on 2025-05-09, 07:58 authored by J. M. Borwein
We establish open mapping and lower semicontinuity results for convex relations which are generalizations of classical results on continuity of positive linear mappings. These results do not require closure of the relation. Several applications are given.

History

Journal title

Proceedings of the American Mathematical Society

Volume

99

Issue

1

Pagination

49-55

Publisher

American Mathematical Society (AMS)

Language

  • en, English

College/Research Centre

Faculty of Science and Information Technology

School

School of Mathematical and Physical Sciences

Rights statement

First published in Proceedings of the American Mathematical Society in Vol. 99, No. 1, pp. 49-55, 1987, published by the American Mathematical Society.

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