Topical and sub-topical functions, downward sets and abstract convexity

Title: Topical and sub-topical functions, downward sets and abstract convexity
Creator: Rubinov, Alex; Singer, Ivan
Date: 2001
Type: Text; Journal article
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/53649
Identifier: vital:763
Identifier: https://doi.org/10.1080/02331930108844567
Identifier: ISSN:0233-1934
Abstract: We study topical and sub-topical functions (i.e., functions f : Rn → R = [-∞, +∞] which are increasing in the natural partial ordering of Rn and additively homogeneous, respectively additively sub-homogeneous), and downward sets (i.e., subsets of ℝn which contain, along with each element, all smaller elements), in the framework of abstract convex analysis, with the aid of the additive min-type coupling function
Publisher: Taylor & Francis Ltd.
Relation: Optimization Vol. 50, no. 5-6 (2001), p. 307-351
Rights: Copyright Taylor & Francis
Rights: This metadata is freely available under a CCO license
Subject: 0802 Computation Theory and Mathematics; Abstract convex functions; Abstract convex sets; Downward sets; Sub-topical functions; Topical functions
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