Preserving maximal monotonicity with applications in sum and composition rules

被引：1

作者：

Alimohammady, Mohsen ^{[1
]}

Dadashi, Vahid ^{[2
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar 4741695447, Iran

[2] Islamic Azad Univ, Dept Math, Sari Branch, Sari, Iran

来源：

OPTIMIZATION LETTERS | 2013年 / 7卷 / 03期

关键词：

Convex process; Fitzpatrick function; Maximal monotone operator; Representative function; Sum and composition rules; REPRESENTATION; OPERATORS; DUALITY;

D O I：

10.1007/s11590-011-0435-7

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we study maximal monotonicity preserving mappings on the Banach space X x X (*). Indeed, for a maximal monotone set and for a multifunction , under some sufficient conditions on M and T we show that T(M) is maximal monotone. As two consequences of this result we get sum and composition rules for maximal monotone operators.

引用

页码：511 / 517

页数：7

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