The Sum and Chain Rules for Maximal Monotone Operators

Set-Valued Analysis - Tập 16 - Trang 461-476 - 2007
M. D. Voisei1
1Department of Mathematics, The University of Texas–Pan American, Edinburg, USA

Tóm tắt

This paper is primarily concerned with the problem of maximality for the sum A + B and composition L* ML in non-reflexive Banach space settings under qualifications constraints involving the domains of A, B, M. Here X, Y are Banach spaces with duals X*, Y*, A, B: X ⇉ X*, M: Y ⇉ Y* are multi-valued maximal monotone operators, and L: X → Y is linear bounded. Based on the Fitzpatrick function, new characterizations for the maximality of an operator as well as simpler proofs, improvements of previously known results, and several new results on the topic are presented.

Tài liệu tham khảo

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Thông tin xuất bản

Set-Valued Analysis

Tập 16

461-476

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