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Optimization of the difference of topical functions

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  • A. Doagooei
  • H. Mohebi

Abstract

In this paper, we first obtain some properties of topical (increasing and plus-homogeneous) functions in the framework of abstract convexity. Next, we use the Toland–Singer formula to characterize the dual problem for the difference of two topical functions. Finally, we present necessary and sufficient conditions for the global minimum of the difference of two strictly topical functions. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • A. Doagooei & H. Mohebi, 2013. "Optimization of the difference of topical functions," Journal of Global Optimization, Springer, vol. 57(4), pages 1349-1358, December.
    • Handle: RePEc:spr:jglopt:v:57:y:2013:i:4:p:1349-1358
    DOI: 10.1007/s10898-012-9991-3
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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.

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