Monotonic analysis : Convergence of sequences of monotone functions

Title: Monotonic analysis : Convergence of sequences of monotone functions
Creator: Rubinov, Alex
Date: 2003
Type: Text; Journal article
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/66304
Identifier: vital:747
Identifier: https://doi.org/10.1080/02331930310001634425
Identifier: ISSN:0233-1934
Abstract: In this article we examine various kinds of convergence of sequences of increasing positively homogeneous (IPH) functions and nonnegative decreasing functions defined on the interior of a pointed closed solid convex cone K. We show that five different types of convergency (including pointwise and epi-convergence) coincide for IPH functions. If the space under consideration is finite dimensional then the sixth type can be added: uniform convergence on bounded subsets of int K. Using IPH functions, we study epi-convergence of sequences of lower semi-continuous (lsc) nonnegative decreasing functions.; C1
Publisher: Taylor & Francis
Relation: Optimization Vol. 52, no. 6 (2003), p. 673-692
Rights: Copyright Taylor & Francis
Rights: This metadata is freely available under a CCO license
Subject: 0802 Computation Theory and Mathematics; Decreasing functions; Epi-convergence; Increasing positively homogeneous functions; Monotonic analysis
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