Optimality conditions of \(E\)-convex programming for an \(E\)-differentiable function

DOI10.1186/1029-242X-2013-246zbMath1285.90036WikidataQ59300521 ScholiaQ59300521MaRDI QIDQ2637537

Ebrahim A. Youness, Abou-Zaid H. El-Banna, Hebaa G. Gomma, Abd El-Monem A. Megahed

Publication date: 12 February 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

\(E\)-convex function\(E\)-convex set\(E\)-differentiable functionsemi \(E\)-convex function

Mathematics Subject Classification ID

Convex programming (90C25)

Related Items (15)

\(V-E\)-invexity in \(E\)-differentiable multiobjective programming ⋮ On the exactness and the convergence of the \(l_1\) exact penalty \(E\)-function method for \(E\)-differentiable optimization problems ⋮ Optimality and duality for \(E\)-minimax fractional programming: application to multiobjective optimization ⋮ Optimality conditions for a class ofE-differentiable vector optimization problems with interval-valued objective functions underE-invexity ⋮ Optimality conditions and duality for \(E\)-differentiable multiobjective programming involving \(V\)-\(E\)-type I functions ⋮ Optimality and duality for \(E\)-differentiable multiobjective programming problems involving \(E\)-type I functions ⋮ Unnamed Item ⋮ Mixed \(E\)-duality for \(E\)-differentiable vector optimization problems under (generalized) \(V\)-\(E\)-invexity ⋮ \(E\)-differentiable minimax programming under \(E\)-convexity ⋮ Optimality conditions for \(E\)-differentiable vector optimization problems with the multiple interval-valued objective function ⋮ Optimality and duality results for \(E\)-differentiable multiobjective fractional programming problems under \(E\)-convexity ⋮ \(E\)-univex sets, \(E\)-univex functions and \(E\)-differentiable \(E\)-univex programming ⋮ Unnamed Item ⋮ On geodesic strongly \(E\)-convex sets and geodesic strongly \(E\)-convex functions ⋮ Optimality and mixed duality in multiobjective \(E\)-convex programming

Cites Work

• Some properties of geodesic semi-\(E\)-convex functions
• A combined interactive approach for solving E-convex multiobjective nonlinear programming problem
• Some properties of \(E\)-convex functions
• Characterization of efficient solutions of multi-objective \(E\)-convex programming problems
• Some properties of semi-\(E\)-convex functions.
• Optimality criteria in \(E\)-convex programming

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