Weak Sharp Minima in Multicriteria Linear Programming

DOI10.1137/S1052623403434401zbMath1114.90111OpenAlexW1982422114MaRDI QIDQ5317506

Sien Deng, Xiao Qi Yang

Publication date: 16 September 2005

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1052623403434401

zbMATH Keywords

weak sharp minimagap functionnatural residual functionmulticriteria linear optimization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Linear programming (90C05)

Related Items

Weak sharp efficiency in multiobjective optimization ⋮ Optimality conditions for robust weak sharp efficient solutions of nonsmooth uncertain multiobjective optimization problems ⋮ Optimality conditions for weak \({\psi}\) -sharp minima in vector optimization problems ⋮ Structure and weak sharp minimum of the Pareto solution set for piecewise linear multiobjective optimization ⋮ The equivalence of three types of error bounds for weakly and approximately convex functions ⋮ Strong Fermat rules for constrained set-valued optimization problems on Banach spaces ⋮ Generalized weak sharp minima in cone-constrained convex optimization with applications ⋮ Weak sharp minima in set-valued optimization problems ⋮ Conic positive definiteness and sharp minima of fractional orders in vector optimization problems ⋮ Necessary conditions for weak sharp minima in cone-constrained optimization problems ⋮ On well-posedness and Hausdorff convergence of solution sets of vector optimization problems ⋮ Weak sharpness for gap functions in vector variational inequalities ⋮ A note on weak sharp minima in multicriteria linear programming ⋮ Weak \(\psi \)-sharp minima in vector optimization problems ⋮ Weak sharp minima for piecewise linear multiobjective optimization in normed spaces ⋮ The global weak sharp minima with explicit exponents in polynomial vector optimization problems ⋮ Weak sharp minima for set-valued vector variational inequalities with an application ⋮ Estimates of Error Bounds for Some Sets of Efficient Solutions of a Set-Valued Optimization Problem ⋮ Merit functions in vector optimization ⋮ Optimality conditions for vector optimization problems

This page was built for publication: Weak Sharp Minima in Multicriteria Linear Programming