Generalized Convex Functions: Properties, Optimality and Duality

机译：广义凸函数：性质，最优性和对偶性

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It is shown that a set which is closed and locally star shaped at each of its points is convex. Moreover, a semilocally convex function on a closed set which is also lower semi-continuous is a convex function. A characterization is given for a function to be semilocally convex. For a nonlinear programming problem involving semilocally convex functions, a dual is associated and necessary optimality conditions derived. (ERA citation 10:001555)

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作者
Kaul, R. N.; Kaur, S.;
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年度 1984
页码 1-29
总页数 29
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Convex Manifolds; Nonlinear Programming; Analytical Solution; Optimization;

机译：凸流形;非线性规划;解析解;优化问题;

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2. Karush-Kuhn-Tucker optimality conditions and duality for convex semi-infinite programming with multiple interval-valued objective functions [J] . Journal of Applied Mathematics and Computing . 2020,第1a2期

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3. Optimality and duality for nonsmooth semi-infinite E-convex multi-objective programming with support functions [J] . Tarek Emam International journal for simulation and multidisciplinary design optimization . 2020,第1期

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4. Duality Theorems of Multiobjective Programming for a Class of Generalized Convex Functions [C] . Wang Jing, Zhen Kaiwei International Conference on Management Science Engineering . 2007

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5. Convex duality in singular control--Optimal consumption choice with intertemporal substitution and optimal investment in incomplete markets. [D] . Kauppila, Helena. 2010

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6. General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function [O] . G. Farid, K. A. Khan, N. Latif, -1

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7. Parameter-free sufficient optimality conditions and duality models for minmax fractional subset programming problems with generalized(F ϱ, θ)-convex functions [O] . Zalmai G.J 2003

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Generalized Convex Functions: Properties, Optimality and Duality

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