Optimality criteria in \(E\)-convex programming

DOI10.1016/S0960-0779(00)00036-9zbMath1026.90093MaRDI QIDQ1862381

Yanyan Li

Publication date: 19 March 2003

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46)

Related Items (17)

E-convexity and its generalizations ⋮ Optimality conditions of \(E\)-convex programming for an \(E\)-differentiable function ⋮ Optimality of \(E\)-pseudoconvex multi-objective programming problems without constraint qualifications ⋮ Unnamed Item ⋮ On the exactness and the convergence of the \(l_1\) exact penalty \(E\)-function method for \(E\)-differentiable optimization problems ⋮ Optimality Conditions for E-Convex Interval-Valued Programming Problem Using gH-Symmetrical Derivative ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Optimality conditions for \(E\)-differentiable vector optimization problems with the multiple interval-valued objective function ⋮ Generalization of some important theorems to E-midconvex functions ⋮ Second order \((F,\alpha ,\rho ,d,E)\)-convex function and the duality problem ⋮ A combined interactive approach for solving E-convex multiobjective nonlinear programming problem ⋮ Strongly E-convex sets and strongly E-convex functions ⋮ The \(F\)-inclusion property and \(F\)-convexity in normed spaces ⋮ Characterization of efficient solutions of multi-objective \(E\)-convex programming problems ⋮ (F, K, b)-vex sets and some related properties ⋮ Optimality and mixed duality in multiobjective \(E\)-convex programming

Cites Work

• On sufficiency of the Kuhn-Tucker conditions
• Uniqueness of solution in linear programming
• B-vex functions
• \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
• Convex Transformable Programming Problems and Invexity

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