A class of semilocal \(E\)-preinvex functions and its applications in nonlinear programming

DOI10.1155/2012/629194zbMath1235.90152OpenAlexW1983690603WikidataQ58906277 ScholiaQ58906277MaRDI QIDQ411036

Hehua Jiao, Xinying Pai, San-Yang Liu

Publication date: 4 April 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/629194

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Related Items (2)

Efficiency through variational-like inequalities with Lipschitz functions ⋮ On properties of geodesic semilocal E-preinvex functions

Cites Work

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• Some properties of semi-\(E\)-preinvex maps in Banach spaces
• Nonlinear programming with \(E\)-preinvex and local \(E\)-preinvex functions
• Sufficient optimality conditions using generalized convex functions
• Perfect duality for convexlike programs
• Generalizations of convex and related 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.
• Multiple objective fractional programming involving semilocally type I-preinvex and related functions
• Semilocal E-convexity and semilocal E-convex programming
• Sufficient Conditions for Global Minima of Suitably Convex Functionals from Variational and Control Theory
• Optimality and duality in nonlinear programming involving semilocally preinvex and related functions
• Optimality and Duality in Fractional Programming Involving Semilocally Convex and Related Functions

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