Generalized semicontinuity and existence theorems for cone saddle points

From MaRDI portal
Publication:1381316

DOI10.1007/s002459900065zbMath0894.90132OpenAlexW2161467711MaRDI QIDQ1381316

Tamaki Tanaka

Publication date: 19 August 1998

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002459900065




Related Items (57)

Minimax Problems for Set-Valued MappingsTopological pseudomonotonicity and vector equilibrium problemsOn Hölder continuity of solution maps to parametric vector Ky Fan inequalitiesRobust efficiency and well-posedness in uncertain vector optimization problemsWell-posedness for the optimistic counterpart of uncertain vector optimization problemsLevitin-Polyak well-posedness for strong bilevel vector equilibrium problems and applications to traffic network problems with equilibrium constraintsStability on parametric strong symmetric quasi-equilibrium problems via nonlinear scalarizationExistence results for strong vector equilibrium problems and their applicationsVector equilibrium problems on dense setsClosedness of the solution map for parametric weak vector equilibrium problemsA primal-dual approach of weak vector equilibrium problemsUnnamed ItemVector equilibrium type problems with (S)+-conditions\(D - B\)-preinvex type mappingsExistence of solutions and algorithms for bilevel vector equilibrium problems: an auxiliary principle techniqueOn generalized vector pre-variational and pre-quasivariational inequalitiesSet-valued increasing-along-rays maps and well-posed set-valued star-shaped optimizationNonconvex equilibrium problems via a KKM theoremVector equilibrium problems, minimal element problems and least element problemsSome minimax theorems of set-valued maps and their applicationsRegularity conditions via generalized interiority notions in convex optimization: New achievements and their relation to some classical statementsExistence theorems of an extension for generalized strong vector quasi-equilibrium problemsSaddle points and scalarizing sets in multiple objective linear programmingSome saddle-point theorems for vector-valued functionsA new constraint qualification for the formula of the subdifferential of composed convex functions in infinite dimensional spacesExistence of solutions to implicit vector variational inequalitiesOn some types of vectoral saddle-point problemsSaddle points for vector valued functions: existence, necessary and sufficient theoremsExistence theorems of \(\varepsilon\)-cone saddle points for vector-valued mappingsGeneralized symmetric vector quasiequilibrium problemsExistence results for proper efficient solutions of vector equilibrium problems and applicationsNash equilibrium and saddle points for multifunctionsStability for Parametric Vector Quasi-Equilibrium Problems With Variable ConesSystem of vector quasi-equilibrium problems and its applicationsExistence results for vector equilibrium problems given by a sum of two functionsIncreasing-along-rays property, vector optimization and well-posednessSolvability of a system of vector equilibrium problems involving topological pseudomonotonicitySystems of simultaneous generalized vector quasiequilibrium problems and their applicationsEstimates of approximate solutions and well-posedness in vector optimizationLevitin-Polyak well-posedness for constrained quasiconvex vector optimization problemsSome minimax problems in lexicographic orderParametric vector optimizationSequential optimality conditions for composed convex optimization problemsGeneralized vector variational inequalities with star-pseudomonotone and discontinuous operatorsExtended \(B\)-well-Posedness and property (H) for set-valued vector optimization with convexityGeneralized vector equilibrium problems with trifunctionsExistence theorems of simultaneous equilibrium problems and generalized vector quasi-saddle pointsThe Tikhonov regularization for vector equilibrium problemsExistence results for systems of vector equilibrium problemsExistence of solutions to generalized vector quasi-equilibrium problems with discontinuous mappingsOn the existence and approximation of solutions for bilevel vector variational inequalities in Banach spacesOptimality conditions and duality for nonsmooth vector equilibrium problems with constraintsA vector auxiliary principle technique approach to systems of mixed vector equilibrium problemsExistence of solutions of bilevel strong vector equilibrium problems and their applicationsUnnamed ItemHigher-order generalized tangent epiderivatives and applications to set-valued optimizationOn optimality conditions for set-valued equilibrium problems




This page was built for publication: Generalized semicontinuity and existence theorems for cone saddle points