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Increasing Convex-Along-Rays Functions with Applications to Global Optimization

Author

Listed:
  • A. M. Rubinov

    (University of Ballarat)

  • B. M. Glover

    (University of Ballarat)

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.

Suggested Citation

  • A. M. Rubinov & B. M. Glover, 1999. "Increasing Convex-Along-Rays Functions with Applications to Global Optimization," Journal of Optimization Theory and Applications, Springer, vol. 102(3), pages 615-642, September.
    • Handle: RePEc:spr:joptap:v:102:y:1999:i:3:d:10.1023_a:1022602223919
    DOI: 10.1023/A:1022602223919
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    Cited by:

    1. Chaoli Yao & Shengjie Li, 2018. "Vector Topical Function, Abstract Convexity and Image Space Analysis," Journal of Optimization Theory and Applications, Springer, vol. 177(3), pages 717-742, June.
    2. N. T. T. Huong & J.-C. Yao & N. D. Yen, 2020. "Geoffrion’s proper efficiency in linear fractional vector optimization with unbounded constraint sets," Journal of Global Optimization, Springer, vol. 78(3), pages 545-562, November.

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