Pre-vector variational inequalities

DOI10.1017/S0004972700016725zbMath0858.49008MaRDI QIDQ4881956

Lai-Jiu Lin

Publication date: 19 March 1997

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

vector optimization problemsBanach spaceexistence resultsconvex analysisvector-valued variational inequalities

Mathematics Subject Classification ID

Variational inequalities (49J40) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (14)

Proper efficiency and vector variational inequalities ⋮ On generalized vector pre-variational and pre-quasivariational inequalities ⋮ Some relations between minty variational-like inequality problems and vectorial optimization problems in Banach spaces ⋮ Generalized vector variational-like inequalities ⋮ Vector optimization problem and generalized convexity ⋮ Extended new generalized mixed vector variational-like inequalities in reflexive Banach spaces ⋮ On nondifferentiable and nonconvex vector optimization problems ⋮ Minty's lemma and vector variational-like inequalities ⋮ Existence of a solution for generalized vector variational inequalities ⋮ A nonlinear scalarization function and generalized quasi-vector equilibrium problems ⋮ Unified Approaches to Nonlinear Optimization ⋮ Existence of solutions for vector optimization problems ⋮ Generalizations of vector quasivariational inclusion problems with set-valued maps ⋮ On implicit vector variational inequalities

Cites Work

• A generalization of Tychonoff's fixed point theorem
• On sufficiency of the Kuhn-Tucker conditions
• Existence of solutions for a vector variational inequality: An extension of the Hartmann-Stampacchia theorem
• Vector complementarity and minimal element problems
• A variational-like inequality for multifunctions with applications
• On some non-linear elliptic differential functional equations
• Continuousization of the family of point-to-set maps and its applications
• Comparison Theorems on Minimax Inequalities, Variational Inequalities, and Fixed Point Theorems
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces

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