Description

Book Synopsis
This book examines abstract convex analysis and presents the results of recent research, specifically on parametrizations of Minkowski type dualities and of conjugations of type Lau. It explains the main concepts through cases and detailed proofs.

Table of Contents
Abstract Convexity of Elements of a Complete Lattice.

Abstract Convexity of Subsets of a Set.

Abstract Convexity of Functions on a Set.

Abstract Quasi-Convexity of Functions on a Set.

Dualities Between Complete Lattices.

Dualities Between Families of Subsets.

Dualities Between Sets of Functions.

Conjugations.

v-Dualities and _|_-Dualities.

Abstract Subdifferentials.

Notes and Remarks.

References.

Indexes.

Abstract Convex Analysis

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    A Hardback by Ivan Singer

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      Publisher: Wiley
      Publication Date: Publication Date: 15/09/1997
      ISBN13: 9780471160151, 978-0471160151
      ISBN10:

      Description

      Book Synopsis
      This book examines abstract convex analysis and presents the results of recent research, specifically on parametrizations of Minkowski type dualities and of conjugations of type Lau. It explains the main concepts through cases and detailed proofs.

      Table of Contents
      Abstract Convexity of Elements of a Complete Lattice.

      Abstract Convexity of Subsets of a Set.

      Abstract Convexity of Functions on a Set.

      Abstract Quasi-Convexity of Functions on a Set.

      Dualities Between Complete Lattices.

      Dualities Between Families of Subsets.

      Dualities Between Sets of Functions.

      Conjugations.

      v-Dualities and _|_-Dualities.

      Abstract Subdifferentials.

      Notes and Remarks.

      References.

      Indexes.

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