On nondifferentiable and nonconvex vector optimization problems

DOI10.1023/A:1004697127040zbMath0970.90092MaRDI QIDQ5925742

Qamrul Hasan Ansari, Jen-Chih Yao

Publication date: 19 February 2001

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

fixed pointsgeneralized solutionsh-subdifferentialsubinvex functionsvariational-like inequalitiesvector optimization problems

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items (31)

Generalized vector variational-like inequalities and nonsmooth vector optimization problems ⋮ New kinds of generalized variational-like inequality problems in topological vector spaces ⋮ Generalized Minty vector variational-like inequalities and vector optimization problems ⋮ Applications of fixed point theory to extended Nash equilibriums of nonmonetized noncooperative games on posets ⋮ Existence theorems of an extension for generalized strong vector quasi-equilibrium problems ⋮ Nonemptiness and compactness of solutions set for nondifferentiable multiobjective optimization problems ⋮ Generalized vector variational-like inequalities ⋮ Nonsmooth semi-infinite programming problem using limiting subdifferentials ⋮ Nonsmooth variational-like inequalities and nonsmooth vector optimization ⋮ Generalized Stampacchia vector variational-like inequalities and vector optimization problems involving set-valued maps ⋮ On the generalized vector equilibrium problems ⋮ Gap function for set-valued vector variational-like inequalities ⋮ Existence of solutions for nonconvex and nonsmooth vector optimization problems ⋮ Existence of solutions of systems of generalized implicit vector variational inequalities ⋮ Duality for nonsmooth semi-infinite programming problems ⋮ Existence of solutions of systems of generalized implicit vector quasi-equilibrium problems ⋮ Vector variational-like inequalities and vector optimization problems in Asplund spaces ⋮ Nonsmooth vector optimization problems and Minty vector variational inequalities ⋮ On generalized nonlinear variational-like inequality problems ⋮ Existence of solutions for generalized vector quasi-variational-like inequalities without monotonicity ⋮ Existence and duality of generalized vector equilibrium problems ⋮ Recession methods for generalized vector equilibrium problems ⋮ Gap functions and existence of solutions to set-valued vector variational inequalities ⋮ Vector optimization and variational-like inequalities ⋮ Generalized vector variational-like inequalities and vector optimization in Asplund spaces ⋮ Existence results for generalized nonlinear vector variational-like inequalities with set-valued mapping ⋮ Nonsmooth quasi-variational-like inequalities with applications to nonsmooth vector quasi-optimization ⋮ Existence results for extended vector variational-like inequality ⋮ Cone-valued maps in optimization ⋮ Generalized vector equilibrium problems for pseudomonotone multivalued bifunctions ⋮ Generalized vector quasi-equilibrium problems with applications

Cites Work

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• Theory of multiobjective optimization
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• On sufficiency of the Kuhn-Tucker conditions
• Existence of solutions for vector optimization problems
• Generalized convex functions and vector variational inequalities
• Existence of solutions for vector optimization
• On the generalized vector variational inequality problem
• On vector variational-like inequalities
• Vector variational inequalities and vector equilibria. Mathematical theories
• A vector variational inequality and optimization over an efficient set
• Vector variational inequality as a tool for studying vector optimization problems
• Semi-invex functions and their subdifferentials
• Pre-vector variational inequalities
• Convex Analysis

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