Maximality of sums of two maximal monotone operators

Borwein, Jonathan M.

Maximality of sums of two maximal monotone operators

journal contribution

posted on 2025-05-09, 06:25 authored by Jonathan M. Borwein

We use methods from convex analysis, relying on an ingenious function of Simon Fitzpatrick, to prove maximality of the sum of two maximal monotone operators on reflexive Banach space under weak transversality conditions.

History

Journal title

Proceedings of the American Mathematical Society

Volume

134

Issue

10

Pagination

2951 - 2956

Publisher

American Mathematical Society

Place published

Providence, RI

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. 134, Issue 10, p. 2951 - 2956, 2006 published by the American Mathematical Society

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Keywords

convex analysis Banach spaces maximal monotone operators Fitzpatrick

Maximality of sums of two maximal monotone operators

History

Journal title

Volume

Issue

Pagination

Publisher

Place published

Language

College/Research Centre

School

Rights statement

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Keywords

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