Characterizing efficiency without linear structure: a unified approach
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Publication:933783
DOI10.1007/s10898-007-9165-xzbMath1145.90063OpenAlexW2076390578MaRDI QIDQ933783
Elvira Hernández, Fabián Flores-Bazan, Vicente Novo Sanjurjo
Publication date: 25 July 2008
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-007-9165-x
Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Set-valued maps in general topology (54C60) Programming in abstract spaces (90C48)
Related Items (18)
Efficiency in quasiconvex multiobjective nondifferentiable optimization on the real line ⋮ Optimality conditions for a unified vector optimization problem with not necessarily preordering relations ⋮ Variable preference relations: existence of maximal elements ⋮ On solutions of set-valued optimization problems ⋮ A Brézis-Browder principle on partially ordered spaces and related ordering theorems ⋮ Maximal elements under reference-dependent preferences with applications to behavioral traps and games ⋮ Existence of optimal points via improvement sets ⋮ A unified minimal solution in set optimization ⋮ Continuity and closedness of constraint and solution set mappings in unified parametric semi-infinite vector optimization ⋮ Qualitative properties of solutions to set optimization problems ⋮ Scalarizations for a unified vector optimization problem based on order representing and order preserving properties ⋮ Characterizing efficiency on infinite-dimensional commodity spaces with ordering cones having possibly empty interior ⋮ A new nonlinear scalarization function and applications ⋮ Some equivalent problems in set optimization ⋮ Essential stability in unified vector optimization ⋮ Existence and Convergence of Optimal Points with Respect to Improvement Sets ⋮ Continuity of solution maps to parametric set optimization problems via parametric equilibrium problems ⋮ Optimization problems for locally convex cone-valued functions
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