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TWO COINCIDENCE THEOREMS OF VIETORIS MAPS

LIANG-JU CHU, CHING-YAN LIN

Abstract

In 1959, Nikaidô established a remarkable coincidence theorem in a compact Hausdorff topological space, which generalizes and gives a unified treatment to the results of Gale regarding the existence of economic equilibrium and theorems in game problems. The main purpose of the present paper is to deduce several generalized key results based on this very powerful result together with some KKM property. Indeed, we shall simplify and reformulate a few coincidence theorems on acyclic multifunctions as well as some Gòrniewicz-type fixed point theorems. Beyond the realm of monotonicity nor metrizability, the results derived here generalize and unify various earlier ones from classic optimization theory. In the sequel, we shall deduce two versions of Nikaidô’s coincidence theorem about Vietoris maps from different approaches.

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
Lịch hoạt động chung Lịch sử dụng phòng, hội trường, hội thảo Ảnh hoạt động
Giới thiệu Đăng nhập Đăng ký tài khoản Quên mật khẩu Chính sách bảo mật
Messages2TimelineExceptionsViews8RouteQueries108Models431MailsGateSessionRequest
8.1.30PHP Version298msRequest Duration4MBMemory UsageGET acta/{alias}/{type}/{alias_article}Route
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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
      Backtrace
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      Metadata
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      Metadata
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      Metadata
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      Metadata
      Backtrace
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      Metadata
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      Metadata
      Backtrace
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