Conjugate maps and duality in multiobjective optimization
From MaRDI portal
Publication:1131963
DOI10.1007/BF00934473zbMath0418.90080MaRDI QIDQ1131963
Yoshikazu Sawaragi, Tetsuzo Tanino
Publication date: 1980
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
dualitymultiobjective optimizationsaddle pointsubgradientefficient pointsconvex vector optimizationperturbed problemsconjugate mapsLagrangian map
Related Items (56)
Vector maximisation and lagrange multipliers ⋮ A duality theory for set-valued functions. I: Fenchel conjugation theory ⋮ On two generalizations of Pareto minimality ⋮ Some minimax problems of vector-valued functions ⋮ Conjugate dual problems in constrained set-valued optimization and applications ⋮ Second-order differential and sensitivity properties of weak vector variational inequalities ⋮ Optimality conditions for the difference of convex set-valued mappings ⋮ Lexicographical order and duality in multiobjective programming ⋮ Conjugate Maps, Subgradients and Conjugate Duality in Set-Valued Optimization ⋮ Strong duality for infinite-dimensional vector-valued programming problems ⋮ Conjugate duality in set-valued vector optimization ⋮ Lagrangian duality for preinvex set-valued functions ⋮ Axiomatic approach to duality in optimization ⋮ On generalized Fenchel-Moreau theorem and second-order characterization for convex vector functions ⋮ Approximate quasi efficiency of set-valued optimization problems via weak subdifferential ⋮ Conjugate duality in set optimization via nonlinear scalarization ⋮ \(\varepsilon\)-strict subdifferentials of set-valued maps and optimality conditions ⋮ Differential stability in a multi-objective optimal control problems with a possibly empty solution set ⋮ A hahn-banach theorem in ordered linear spaces and its applications ⋮ Subdifferentials of multifunctions and Lagrange multipliers for multiobjective optimization. ⋮ Sufficient optimality conditions and Mond-Weir duality results for a fractional multiobjective optimization problem ⋮ \(\varepsilon\)-subdifferentials of set-valued maps and \(\varepsilon\)-weak Pareto optimality for multiobjective optimization ⋮ On subdifferential calculus for set-valued mappings and optimality conditions ⋮ Conjugate Duality for Constrained Vector Optimization in Abstract Convex Frame ⋮ Saddle points and gap functions for vector equilibrium problems via conjugate duality in vector optimization ⋮ Duality for set-valued multiobjective optimization problems. I: Mathematical programming ⋮ Subdifferential calculus for set-valued mappings and optimality conditions for multiobjective optimization problems ⋮ Moreau-Rockafellar theorems for nonconvex set-valued maps ⋮ On cone convexity of set-valued maps ⋮ Pareto-Fenchel ε-Subdifferential Composition Rule and ε-Efficiency ⋮ Conjugate duality in vector optimization ⋮ Lagrange duality in set optimization ⋮ Lagrange duality, stability and subdifferentials in vector optimization ⋮ Unnamed Item ⋮ Pareto-Fenchel \({\epsilon}\)-subdifferential sum rule and \({\epsilon}\)-efficiency ⋮ Approximate duality for vector quasi-equilibrium problems and applications ⋮ Generalized \(\varepsilon \)-quasi-solutions in multiobjective optimization problems: existence results and optimality conditions ⋮ New existence results of solutions for vector optimization programs with multifunctions ⋮ Unnamed Item ⋮ Conjugate duality in vector optimization and some applications to the vector variational inequality ⋮ Set Optimization—A Rather Short Introduction ⋮ Conjugate Duality in Constrained Set-Valued Vector Optimization Problems ⋮ Different conjugate dual problems in vector optimization and their relations ⋮ Convexity and concavity properties of the optimal value function in parametric nonlinear programming ⋮ Approximate saddle-point theorems in vector optimization ⋮ Existence theorems of set optimization with set-valued maps ⋮ A set-valued Lagrange theorem based on a process for convex vector programming ⋮ The existence theorem of the cone-weak subdifferential of set-valued mapping ⋮ On information functions and their polars ⋮ Unnamed Item ⋮ ε-Conjugate maps andε-conjugate duality in vector optimization with set-valued maps ⋮ Necessary optimality conditions of a D.C. set-valued bilevel optimization problem ⋮ Geometric consideration of duality in vector optimization ⋮ \(\epsilon\)-solutions in vector minimization problems ⋮ On duality theory in multiobjective programming ⋮ On the existence of efficient points in locally convex spaces
Cites Work
This page was built for publication: Conjugate maps and duality in multiobjective optimization
