The Notion of V-r-Invexity in Differentiable Multiobjective Programming

DOI10.1515/JAA.2005.63zbMath1140.90485OpenAlexW2128822168MaRDI QIDQ5316900

Tadeusz Antczak

Publication date: 15 September 2005

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

Full work available at URL: https://doi.org/10.1515/jaa.2005.63

zbMATH Keywords

optimality conditionsdualityMultiobjective programmingweak Pareto optimal solutionstrictly \(V\)-\(r\)-invex function

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Convexity of real functions of several variables, generalizations (26B25)

Related Items (11)

Some sufficient efficiency conditions in semiinfinite multiobjective fractional programming based on exponential type invexities ⋮ Generalized minimax programming with nondifferentiable \((G, \beta)\)-invexity ⋮ \(V-E\)-invexity in \(E\)-differentiable multiobjective programming ⋮ On sufficiency and duality for nonsmooth multiobjective programming problems involving generalized \(V-r\)-invex functions ⋮ On nonsmooth semi-infinite minimax programming problem with \((\Phi, \rho)\)-invexity ⋮ On Multi-objective Optimization Problems and Vector Variational-Like Inequalities ⋮ Geodesic \(r\)-preinvex functions on Riemannian manifolds ⋮ Roughly geodesic B - r-preinvex functions on Cartan Hadamard manifolds ⋮ On \(G\)-invex multiobjective programming. II: Duality ⋮ On \(G\)-invex multiobjective programming. I: Optimality ⋮ Optimality and duality for nonsmooth multiobjective programming problems with \(V\)-\(r\)-invexity

Cites Work

• The essence of invexity
• Optimality conditions in multiobjective differentiable programming
• Multiobjective duality with invexity
• On sufficiency of the Kuhn-Tucker conditions
• Necessary conditions for optimality of nondifferentiable convex multiobjective programming
• What is invexity?
• Invex functions and constrained local minima
• Invex optimisation problems
• On generalised convex mathematical programming
• r-convex functions
• Generalized convexity in multiobjective programming
• \((p,r)\)-invex sets and functions
• On \((p,r)\)-invexity-type nonlinear programming problems.

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