Higher-order cone-pseudoconvex, quasiconvex and other related functions in vector optimization
From MaRDI portal
Publication:1947614
DOI10.1007/s11590-012-0447-yzbMath1292.90274OpenAlexW1983376803MaRDI QIDQ1947614
Surjeet Kaur Suneja, Pooja Louhan, Meetu Bhatia Grover
Publication date: 23 April 2013
Published in: Optimization Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11590-012-0447-y
vector optimizationdualityoptimalityconeshigher-order (naturally, strictly) cone-pseudoconvexityhigher-order weakly cone-quasiconvexity
Convex programming (90C25) Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46)
Related Items
On fractional vector optimization over cones with support functions, Higher-order duality relations for multiobjective fractional problems involving support functions, Unnamed Item, Generalized higher-order cone-convex functions and higher-order duality in vector optimization, Higher-order duality for multiobjective optimization problems containing support functions over cones, Higher-order symmetric duality under cone-invexity and other related concepts, Higher order duality for cone vector optimization problems
Cites Work
- Unnamed Item
- Unnamed Item
- Vector optimization problem and generalized convexity
- Second order duality in multiobjective programming
- Higher-order duality in vector optimization over cones
- Higher-order nondifferentiable symmetric duality with generalized \(F\)-convexity
- Pareto optimality, game theory and equilibria
- Higher order duality in multiobjective fractional programming with support functions
- An improved definition of proper efficiency for vector maximization with respect to cones
- Second order duality for a minimax programming problem
- Second- and higher-order duality in nonlinear programming
- Second order invexity and duality in mathematical programming
- Higher-order symmetric duality in nondifferentiable multiobjective programming problems.
- Multiobjective symmetric duality involving cones
- Higher-order generalized convexity and duality in nondifferentiable multiobjective mathematical programming
- Second order duality for multiobjective programming involving \((F,\rho,\sigma)\)-type I functions.
- Proper efficiency and the theory of vector maximization
- Weak minimization and duality
- Proper Efficient Points for Maximizations with Respect to Cones
- Some new classes of generalized concave vector-valued functions
