不等式与等式约束下e -可微向量优化问题的e -鞍点准则

T. Antczak, Najeeb Abdulaleem
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引用次数: 1

摘要

研究一类同时具有不等式约束和等式约束的e -可微向量优化问题。对于这类(不一定)可微的多准则优化问题,定义了两个E-Lagrange函数及其e -鞍点。然后对这类具有e -可微e -凸函数的(不一定)可微多目标规划问题建立了e -鞍点准则。
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E-Saddle Point Criteria for E-differentiable Vector Optimization Problems with Inequality and Equality Constraints
n this study, the class of E-differentiable vector optimization problems with both inequality and equality constraints is considered. For such (not necessarily) differentiable multicriteria optimization problems, two E-Lagrange functions and their E-saddle points are defined. Then the so-called E-saddle point criteria are established for such (not necessarily) differentiable multiobjective programming problems with E-differentiable E-convex functions.
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