Duality for semi-infinite programming problems involving \((H_p,r)\)-invex functions

DOI10.1186/1029-242X-2013-200zbMath1282.90188WikidataQ59304988 ScholiaQ59304988MaRDI QIDQ394614

Izhar Ahmad, Anurag Jayswal, Ashish Kumar Prasad, Ravi P. Agarwal

Publication date: 27 January 2014

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

zbMATH Keywords

dualitysemi-infinite programming\((H_p,r)\)-invex function\(H_p\)-invex set

Mathematics Subject Classification ID

Fractional programming (90C32) Duality theory (optimization) (49N15) Optimality conditions for minimax problems (49K35)

Related Items (4)

On nondifferentiable minimax semi-infinite programming problems in complex spaces ⋮ Optimality conditions and Mond-Weir duality for a class of differentiable semi-infinite multiobjective programming problems with vanishing constraints ⋮ A Cutting Plane Approach for Solving Linear Bilevel Programming Problems ⋮ Sufficiency and duality in nondifferentiable minimax fractional programming with \((H_p,r)\)-invexity

Cites Work

• \(r\)-preinvexity and \(r\)-invexity in mathematical programming
• Robust high-order repetitive control: Optimal performance trade-offs
• Second-order multiobjective symmetric duality involving cone-bonvex functions
• Second order \((F, \alpha , \rho , d)\)-convexity and duality in multiobjective programming
• Multiple Objective Programming Involving Differentiable (Hp, r)-invex Functions
• Sufficient Conditions for Nonsmoothr-Invexity
• Duality of Ellipsoidal Approximations via Semi-Infinite Programming
• A duality theory for convex programs with convex constraints
• r-convex functions
• Semi-infinite transportation problems
• \((p,r)\)-invex sets and functions

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