关于对偶映射的极大单调性 |
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引用本文: | 赵威玉. 关于对偶映射的极大单调性[J]. 河北大学学报(自然科学版), 1985, 0(2) |
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作者姓名: | 赵威玉 |
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摘 要: | <正> 本文证明了实Banach空间上的对偶映射是极大单调的。虽然这一结果可以作为〔1〕中TheoremA的一种特殊情况,但是本文的证明方法与〔1〕是完全不同的,是完全新的。 我们用Z表示任一实Banach空间,Z~*表示Z的对偶空间,F:Z—→Z~*表示Z的对偶映射,即
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On the Maximal Monotonicity of Duality Mapping |
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Abstract: | In this paper we shall give a direct and simple proof of a well known fact that the duality mapping of the real Banach space is maximal monotone. Though this result can be regarded as a particular case of Theorem A in (1), the method of proof in this paper is completely new and different from that of [1]. |
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