Existence theorems for monotone operators in reflexive Banach spaces

被引：0

作者：

Matsushita, Shin-Ya ^{[1
]}

Takahashi, Wataru

机构：

[1] Matsue Natl Coll Technol, Dept Informat Engn, Matsue, Shimane 6908518, Japan

[2] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan

来源：

ARCHIV DER MATHEMATIK | 2007年 / 89卷 / 03期

关键词：

monotone operators; existence of zeros; metric projection; duality mapping; fixed point; nonexpansive mapping;

D O I：

10.1007/s00013-007-2070-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain an existence theorem for single-valued monotone operators in a reflexive Banach space. Using this result, we prove a fixed point theorem for nonexpansive mappings in a Hilbert space and an existence theorem for maximal monotone operators in a Banach space.

引用

页码：254 / 265

页数：12

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