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Increasing Convex-Along-Rays Functions with Applications to Global Optimization |
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| Authors: | A M Rubinov B M Glover |
| Institution: | (1) Research Fellow, School of Information Technology and Mathematical Sciences, University of Ballarat, Victoria, Australia;(2) School of Information Technology and Mathematical Sciences, University of Ballarat, Victoria, Australia |
| Abstract: | Increasing convex-along-rays functions are defined within an abstract convexity framework. The basic properties of these functions including support sets and subdifferentials are outlined. Applications are provided to unconstrained global optimization using the concept of excess function. |
| Keywords: | Abstract convexity min-type functions convex-along-rays functions subdifferentials global optimum excess function |
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