Characterizing Global Minimizers of the Di erence of Two Positive Valued A ne Increasing and Co-radiant Functions

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Askarizadeh Mohammad; MOHEBI HOSSEIN

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Journal: WAVELET AND LINEAR ALGEBRA Year:2018 | Volume:5 | Issue:2 Page(s): 47-58

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Title

Characterizing Global Minimizers of the Di erence of Two Positive Valued A ne Increasing and Co-radiant Functions

Author(s)

Askarizadeh Mohammad | MOHEBI HOSSEIN | Issue Writer Certificate

Keywords

Abstract convexity

co-radiant function

increasing function

support set

subdierential

ane increasing and co-radiant function

global minimum

Abstract

Many optimization problems can be reduced to a problem with an increasing and co-radiant objective function by a suitable transformation of variables. Functions, which are increasing and co-radiant, have found many applications in microeconomic analysis. In this paper, the abstract convexity of positive valued a ne increasing and co-radiant (ICR) functions are discussed. Moreover, the basic properties of this class of functions such as support set, subdi erential and maximal elements of support set are characterized. Finally, as an application, necessary and sufﬁ cient conditions for the global minimum of the di erence of two strictly positive valued a ne ICR functions are presented.

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APA: Copy

Askarizadeh, Mohammad, & MOHEBI, HOSSEIN. (2018). Characterizing Global Minimizers of the Di erence of Two Positive Valued A ne Increasing and Co-radiant Functions. WAVELET AND LINEAR ALGEBRA, 5(2), 47-58. SID. https://sid.ir/paper/743187/en

Vancouver: Copy

Askarizadeh Mohammad, MOHEBI HOSSEIN. Characterizing Global Minimizers of the Di erence of Two Positive Valued A ne Increasing and Co-radiant Functions. WAVELET AND LINEAR ALGEBRA[Internet]. 2018;5(2):47-58. Available from: https://sid.ir/paper/743187/en

IEEE: Copy

Mohammad Askarizadeh, and HOSSEIN MOHEBI, “Characterizing Global Minimizers of the Di erence of Two Positive Valued A ne Increasing and Co-radiant Functions,” WAVELET AND LINEAR ALGEBRA, vol. 5, no. 2, pp. 47–58, 2018, [Online]. Available: https://sid.ir/paper/743187/en

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