Nonlinear programming with \(E\)-preinvex and local \(E\)-preinvex functions
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Publication:1011216
DOI10.1016/j.ejor.2007.11.056zbMath1157.90537OpenAlexW2085678733MaRDI QIDQ1011216
Vasile C. Preda, Cristinca Fulga
Publication date: 8 April 2009
Published in: European Journal of Operational Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejor.2007.11.056
Related Items (31)
New trends in general variational inequalities ⋮ 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 ⋮ Semilocal \(E\)-preinvexity and its applications in nonlinear multiple objective fractional programming ⋮ Optimality of \(E\)-pseudoconvex multi-objective programming problems without constraint qualifications ⋮ Some different type integral inequalities concerning twice differentiable generalized relative semi-\((r; m, h)\)-preinvex mappings ⋮ On geodesic \(E\)-convex sets, geodesic \(E\)-convex functions and \(E\)-epigraphs ⋮ Some properties of semi-\(E\)-preinvex maps in Banach spaces ⋮ Unnamed Item ⋮ A class of semilocal \(E\)-preinvex functions and its applications in nonlinear programming ⋮ Geodesic \(\mathcal{E}\)-prequasi-invex function and its applications to non-linear programming problems ⋮ Some properties of semi \(E-b\)-vex functions ⋮ Some New Hermite–Hadamard Type Integral Inequalities via Caputo k–Fractional Derivatives and Their Applications ⋮ Some New Hermite–Hadamard Type Integral Inequalities for Twice Differentiable Mappings and Their Applications ⋮ Some properties of geodesic semi-\(E\)-convex functions ⋮ Generalized differentiable \(E\)-invex functions and their applications in optimization ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Optimality conditions for \(E\)-differentiable vector optimization problems with the multiple interval-valued objective function ⋮ Generalizations of \(E\)-convex and B-vex functions ⋮ Unnamed Item ⋮ Some new \(k\)-fractional trapezium-like integral inequalities via generalized relative semi-\((r;m,h_1,h_2)\)-preinvex mappings and applications ⋮ On properties of geodesic semilocal E-preinvex functions ⋮ On semidifferentiable interval-valued programming problems ⋮ Nondifferentiable multiobjective programming under generalized \(d_I\)-invexity ⋮ Fritz John type optimality and duality in nonlinear programming under weak pseudo-invexity ⋮ Optimality and duality with respect to \(b\)-\((\mathcal{E},m)\)-convex programming ⋮ \(E\)-univex sets, \(E\)-univex functions and \(E\)-differentiable \(E\)-univex programming ⋮ Some new fractional integral inequalities for generalized relative semi-m-(r; h1, h2)-preinvex mappings via generalized Mittag-Leffler function ⋮ On geodesic strongly \(E\)-convex sets and geodesic strongly \(E\)-convex functions
Cites Work
- Optimality criteria in nonlinear programming involving nonconvex functions
- Some properties of \(E\)-convex functions
- Pre-invex functions in multiple objective optimization
- Generalized arcwise-connected functions and characterizations of local- global minimum properties
- On sufficiency of the Kuhn-Tucker conditions
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- B-vex functions
- \((p,r)\)-invexity in multiobjective programming.
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- \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
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- Optimality and duality in nonlinear programming involving semilocally B-preinvex and related functions
- What is invexity?
- Convex Transformable Programming Problems and Invexity
- On \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
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