Some properties of semi-\(E\)-convex functions.

DOI10.1016/S0022-247X(02)00325-6zbMath1072.90561OpenAlexW2009434653MaRDI QIDQ1856911

Xiusu Chen

Publication date: 11 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00325-6

zbMATH Keywords

CounterexamplesE-convex functionsE-convex setsSemi-E-convex function

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Convexity of real functions of several variables, generalizations (26B25)

Related Items (32)

E-convexity and its generalizations ⋮ Some properties of geodesic semi E-b-vex functions ⋮ Optimality conditions of \(E\)-convex programming for an \(E\)-differentiable function ⋮ Unnamed Item ⋮ Semilocal \(E\)-preinvexity and its applications in nonlinear multiple objective fractional programming ⋮ The semi-\(E\) cone convex set-valued map and its applications ⋮ Optimality of \(E\)-pseudoconvex multi-objective programming problems without constraint qualifications ⋮ Characterizations of semi-prequasi-invexity ⋮ Relative h-preinvex functions and integral inequalities ⋮ Unnamed Item ⋮ On slack $2$-geodesic convex set and geodesic $E$-pseudoconvex function with application ⋮ Some properties of semi-\(E\)-preinvex maps in Banach spaces ⋮ A class of semilocal \(E\)-preinvex functions and its applications in nonlinear programming ⋮ Some properties of semi \(E-b\)-vex functions ⋮ On some inequalities for relative semi-convex functions ⋮ Generalized differentiable \(E\)-invex functions and their applications in optimization ⋮ Unnamed Item ⋮ Simpson-like type inequalities for relative semi-(α,m)-logarithmically convex functions ⋮ Some k-fractional extensions of the trapezium inequalities through generalized relative semi-(m,h)-preinvexity ⋮ Optimality conditions for \(E\)-differentiable vector optimization problems with the multiple interval-valued objective function ⋮ New convex functions in linear spaces and Jensen's discrete inequality ⋮ Second order \((F,\alpha ,\rho ,d,E)\)-convex function and the duality problem ⋮ Inequalities for T ϕ-convex functions ⋮ A combined interactive approach for solving E-convex multiobjective nonlinear programming problem ⋮ Fractional trapezium-like inequalities involving generalized relative semi-\(( m, h_1 , h_2)\)-preinvex mappings on an \(m\)-invex set ⋮ Strongly E-convex sets and strongly E-convex functions ⋮ The \(F\)-inclusion property and \(F\)-convexity in normed spaces ⋮ Nonlinear programming with \(E\)-preinvex and local \(E\)-preinvex functions ⋮ (F, K, b)-vex sets and some related properties ⋮ Semilocal E-convexity and semilocal E-convex programming ⋮ On geodesic strongly \(E\)-convex sets and geodesic strongly \(E\)-convex functions ⋮ Optimality and mixed duality in multiobjective \(E\)-convex programming

Cites Work

• Inequalities via convex functions
• New approximation schemes for general variational inequalities
• \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
• Fuzzy preinvex functions
• On \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming

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