Relationships between interval-valued vector optimization problems and vector variational inequalities

DOI10.1007/s10700-015-9212-xzbMath1428.90168OpenAlexW2075282455MaRDI QIDQ1794600

Xiaojue Ma, Lifeng Li, Jianke Zhang, Qing Hua Zheng

Publication date: 15 October 2018

Published in: Fuzzy Optimization and Decision Making (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10700-015-9212-x

zbMATH Keywords

vector variational inequalitiesapproximate convexityinterval-valued vector optimization problems

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70)

Related Items (11)

Solving vector interval-valued optimization problems with infinite interval constraints via integral-type penalty function ⋮ On relations between nonsmooth interval-valued multiobjective programming problems and generalized Stampacchia vector variational inequalities ⋮ Optimality conditions for fuzzy optimization problems under granular convexity concept ⋮ Interval-valued programming problem with infinite constraints ⋮ On Minty variational principle for nonsmooth multiobjective optimization problems on Hadamard manifolds ⋮ Two classes of granular solutions and related optimality conditions for interval type-2 fuzzy optimization ⋮ The continuous-time problem with interval-valued functions: applications to economic equilibrium ⋮ Optimality conditions for fuzzy constrained programming problems ⋮ Optimality and duality for second-order interval-valued variational problems ⋮ Convexity and level sets for interval-valued fuzzy sets ⋮ Relations between multidimensional interval-valued variational problems and variational inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonsmooth multiobjective optimization problems and weak vector quasi-variational inequalities
• Some relations between vector variational inequality problems and nonsmooth vector optimization problems using quasi efficiency
• On sufficiency and duality for a class of interval-valued programming problems
• On nonsmooth V-invexity and vector variational-like inequalities in terms of the Michel-Penot subdifferentials
• Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
• Vector variational inequality and vector pseudolinear optimization
• Vector variational inequalities and vector equilibria. Mathematical theories
• Optimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivative
• Interval analysis and fuzzy set theory
• Relationships between vector variational-like inequality and optimization problems
• Efficient solution of interval optimization problem
• On approximately star-shaped functions and approximate vector variational inequalities
• Optimality conditions and duality in nondifferentiable interval-valued programming
• The Karush-Kuhn-Tucker optimality conditions in multiobjective programming problems with interval-valued objective functions
• The Karush--Kuhn--Tucker optimality conditions in an optimization problem with interval-valued objective function
• A note on the paper ``On approximately star-shaped functions and approximate vector variational inequalities
• The KKT optimality conditions in a class of generalized convex optimization problems with an interval-valued objective function
• A nonlinear interval number programming method for uncertain optimization problems
• Generalized vector variational-like inequalities and vector optimization in Asplund spaces
• On V-r-invexity and vector variational-like inequalities
• Approximate convexity in vector optimisation
• Optimization and nonsmooth analysis

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