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A REMARK ON VECTOR-VALUED EQUILIBRIA AND GENERALIZED MONOTONICITY

icon-email W. OETTLI

Abstract

It is the purpose of this note to show that existence results for vector-valued equilibria, of the type considered recently in [1] or [2],
can be deduced in a straightforward way from corresponding results about scalar-valued equilibria. We shall proceed as follows. First we prove an existence result for scalar-valued equilibria, employing a certain notion of generalized monotonicity, and from this we deduce several results for the vector-valued case, by using appropriate gauge functions.

Viện Toán học, Viện Hàn lâm Khoa học và Công nghệ Việt Nam

Địa chỉ: Số 18 đường Hoàng Quốc Việt, quận Cầu Giấy, Hà Nội

Điện thoại: 024 37563474 - Fax: 024 37564303

Email: vientoan@math.ac.vn

Viện nghiên cứu cao cấp về toán Hội Toán học Mỹ MathScinet Thư viện số (VAST) Arxiv
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Messages2TimelineExceptionsViews8RouteQueries108Models431MailsGateSessionRequest
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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      Metadata
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