Monotonic Analysis: Some Results of Increasing and Positively Homogeneous Functions

Authors

  • H. Mazaheri
  • Z. Golinejad

Keywords:

Increasing positively homogeneous functions; Epi-convergence; Global optimization.

Abstract

The theory of increasing and positively homogeneous (IPH) functions defined on a convex cone in a topological vector space X, is well developed. In this article, we present necessary and sufficient conditions for the minimum of the difference of strictly IPH functions defined on X. We study convergence of sequences of increasing positively homogeneous (IPH) functions defined on X.

Key words and phrases. Increasing positively homogeneous functions; Epi-convergence; Global optimization.

2000 Mathematics Subject Classification. 40H05, 46A45

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Published

2025-05-18

How to Cite

H. Mazaheri, & Z. Golinejad. (2025). Monotonic Analysis: Some Results of Increasing and Positively Homogeneous Functions. Jordan Journal of Mathematics and Statistics, 7(2), 109–118. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1085

Issue

Vol. 7 No. 2 (2014)

Section

Articles