On \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
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Publication:5945078
DOI10.1023/A:1017532225395zbMath1068.90592OpenAlexW1531117773MaRDI QIDQ5945078
Publication date: 2001
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1017532225395
Related Items (35)
E-convexity and its generalizations ⋮ On some fractional integral inequalities for generalized strongly modified \(h\)-convex functions ⋮ On the \(E\)-epigraph of an \(E\)-convex function ⋮ Some properties of geodesic \(E\)-preinvex function and geodesic semi \(E\)-preinvex function on Riemannian manifolds ⋮ Some properties of geodesic semi E-b-vex functions ⋮ Unnamed Item ⋮ On an implicit convexity concept and some integral inequalities ⋮ A Convexity Concept with Respect to a Pair of Functions ⋮ Optimality of \(E\)-pseudoconvex multi-objective programming problems without constraint qualifications ⋮ On slack $2$-geodesic convex set and geodesic $E$-pseudoconvex function with application ⋮ On geodesic \(E\)-convex sets, geodesic \(E\)-convex functions and \(E\)-epigraphs ⋮ Some properties of semi-\(E\)-preinvex maps in Banach spaces ⋮ Optimality Conditions for E-Convex Interval-Valued Programming Problem Using gH-Symmetrical Derivative ⋮ Geodesic \(\mathcal{E}\)-prequasi-invex function and its applications to non-linear programming problems ⋮ Some properties of semi \(E-b\)-vex functions ⋮ Some properties of geodesic semi-\(E\)-convex functions ⋮ Generalized differentiable \(E\)-invex functions and their applications in optimization ⋮ Some properties of geodesic $(alpha,E)$-preinvex functions on Riemannian manifolds ⋮ Saddle points for vector valued functions: existence, necessary and sufficient theorems ⋮ 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 ⋮ Generalization of some important theorems to E-midconvex functions ⋮ Generalizations of \(E\)-convex and B-vex functions ⋮ Some inequalities related to interval-valued \(\eta_h\)-convex functions ⋮ The \(F\)-inclusion property and \(F\)-convexity in normed spaces ⋮ Nonlinear programming with \(E\)-preinvex and local \(E\)-preinvex functions ⋮ New fractional inequalities of midpoint type via \(s\)-convexity and their application ⋮ (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 ⋮ Semilocal E-convexity and semilocal E-convex programming ⋮ Some properties of semi-\(E\)-convex functions. ⋮ Some properties of \(E\)-convex functions ⋮ On geodesic strongly \(E\)-convex sets and geodesic strongly \(E\)-convex functions ⋮ Optimality and mixed duality in multiobjective \(E\)-convex programming
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