OPTIMALITY OF GLOBAL PROPER EFFICIENCY FOR CONE-ARCWISE CONNECTED SET-VALUED OPTIMIZATION USING CONTINGENT EPIDERIVATIVE

DOI10.1142/S0217595913400046zbMath1273.90196OpenAlexW2149350858MaRDI QIDQ2846483

Guolin Yu

Publication date: 5 September 2013

Published in: Asia-Pacific Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217595913400046

zbMATH Keywords

cone-arcwise connected set-valued mappingglobal proper efficiencyset-valued optimizationcontingent epiderivative

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Convexity of real functions of several variables, generalizations (26B25)

Related Items (5)

Using \(\rho \)-cone arcwise connectedness on parametric set-valued optimization problems ⋮ On constrained set-valued optimization problems with \(\rho\)-cone arcwise connectedness ⋮ Optimality conditions of the set-valued optimization problem with generalized cone convex set-valued maps characterized by contingent epiderivative ⋮ Second-order optimality conditions for cone-subarcwise connected set-valued optimization problems ⋮ Approximate solutions for nonconvex set-valued optimization and vector variational inequality

Cites Work

• Optimality conditions for Henig and globally proper efficient solutions with ordering cone has empty interior
• Scalarization and optimality conditions for strict minimizers in multiobjective optimization via contingent epiderivatives
• An improved definition of proper efficiency for vector maximization with respect to cones
• Proper efficiency with respect to cones
• Proper efficiency in locally convex topological vector spaces
• Contingent epiderivatives and set-valued optimization
• Optimality conditions for proper efficient solutions of vector set-valued optimization.
• Arcwise connected cone-convex functions and mathematical programming
• The existence of contingent epiderivatives for set-valued maps
• First-order optimality conditions in set-valued optimization
• Variational characterization of the contingent epiderivative
• Globally proper saddle point in ic-cone-convexlike set-valued optimization problems
• Optimality criteria in set-valued optimization

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