Semilocal E-convexity and semilocal E-convex programming
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Publication:3435375
DOI10.1017/S0004972700038983zbMath1130.90034MaRDI QIDQ3435375
Qing-Jie Hu, Hai-Yan Zheng, Jin-Bao Jian, Chun-Ming Tang
Publication date: 26 April 2007
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46)
Related Items (5)
E-convexity and its generalizations ⋮ Unnamed Item ⋮ Semilocal \(E\)-preinvexity and its applications in nonlinear multiple objective fractional programming ⋮ A class of semilocal \(E\)-preinvex functions and its applications in nonlinear programming ⋮ On properties of geodesic semilocal E-preinvex functions
Cites Work
- Perfect duality for convexlike programs
- Generalizations of convex and related functions
- Programming with semilocally convex functions
- Optimality and duality in fractional multiple objective programming involving semilocally preinvex and related functions.
- \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
- Some properties of semi-\(E\)-convex functions.
- Duality in nonlinear programming involving semilocally convex and related functions
- Sufficient Conditions for Global Minima of Suitably Convex Functionals from Variational and Control Theory
- Optimality and Duality in Fractional Programming Involving Semilocally Convex and Related Functions
- Optimality conditions and duality in multiple objective programming involving semilocally convex and related functions
- On \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
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