دورية أكاديمية

Recession function and its applications in optimization.

التفاصيل البيبلوغرافية
العنوان: Recession function and its applications in optimization.
المؤلفون: Li, Genghua, Li, Shengjie, You, Manxue
المصدر: Optimization; Dec 2021, Vol. 70 Issue 12, p2559-2578, 20p
مصطلحات موضوعية: RECESSIONS, VALUATION of real property, CONES, CONSTRAINED optimization, LIPSCHITZ continuity
مستخلص: In this paper, we focus on the recession cone and recession function in the nonconvex case. By virtue of the recession function, we investigate the monotonicity of a function. Then, we obtain a characterization of the Lipschitz continuity for a function by using the recession function. As applications, we study the monotonicity and Lipschitz continuity properties of the optimal value function for a parametric constrained optimization problem. Moreover, we present a characterization of the nonemptiness and boundedness of the solution set for a constrained optimization problem without convexity assumption. [ABSTRACT FROM AUTHOR]
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قاعدة البيانات: Complementary Index
الوصف
تدمد:02331934
DOI:10.1080/02331934.2020.1786569