Generalizations of \(E\)-convex and B-vex functions

DOI10.1016/j.camwa.2009.04.012zbMath1189.26022OpenAlexW2094715996MaRDI QIDQ980020

Lixing Jia, Yu-Ru Syau, Lee, E. Stanley

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.04.012

zbMATH Keywords

generalized convexityB-vex functions\(E\)-B-vex functions\(E\)-convex functions\(E\)-quasiconvex functions

Mathematics Subject Classification ID

Convex programming (90C25) Convexity of real functions of several variables, generalizations (26B25)

Related Items (5)

Unnamed Item ⋮ Optimality of \(E\)-pseudoconvex multi-objective programming problems without constraint qualifications ⋮ (F, K, b)-vex sets and some related properties ⋮ Optimality and duality with respect to \(b\)-\((\mathcal{E},m)\)-convex programming ⋮ \(E\)-univex sets, \(E\)-univex functions and \(E\)-differentiable \(E\)-univex programming

Cites Work

• Unnamed Item
• Some properties of \(E\)-convex functions
• Nonlinear programming with \(E\)-preinvex and local \(E\)-preinvex functions
• B-vex functions
• Generalization of preinvex and B-vex functions
• Lipschitz B-vex functions and nonsmooth programming
• \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
• On invex sets and preinvex functions
• On the \(E\)-epigraph of an \(E\)-convex function
• Convex Transformable Programming Problems and Invexity
• On \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming

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