Inverse Variational Inequality Approach and Applications

DOI10.1080/01630563.2014.895751zbMath1295.49006OpenAlexW2040568274MaRDI QIDQ2877729

Annamaria Barbagallo, Paolo Mauro

Publication date: 25 August 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2014.895751

zbMATH Keywords

Lagrange multipliersevolutionary variational inequalityinverse variational inequalitydynamic oligopolistic market equilibrium problempolicy-maker optimization problem

Mathematics Subject Classification ID

Noncooperative games (91A10) Variational inequalities (49J40) Production theory, theory of the firm (91B38) General equilibrium theory (91B50) Inverse problems in optimal control (49N45)

Related Items (12)

Existence and stability of solutions to inverse variational inequality problems ⋮ A general quasi-variational problem of Cournot-Nash type and its inverse formulation ⋮ Image space analysis for constrained inverse vector variational inequalities via multiobjective optimization ⋮ Evolutionary variational inequality with long-term memory and applications to economic networks ⋮ Infinite dimensional tensor variational inequalities with applications to an economic equilibrium problem ⋮ Inverse tensor variational inequalities and applications ⋮ A CLASS OF DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES ⋮ Solving policy design problems: alternating direction method of multipliers-based methods for structured inverse variational inequalities ⋮ Nonlinear separation approach to inverse variational inequalities in real linear spaces ⋮ Stability analysis of set-valued inverse variational inequalities in reflexive Banach spaces ⋮ A quasi-variational approach for the dynamic oligopolistic market equilibrium problem ⋮ A random time-dependent noncooperative equilibrium problem

Cites Work

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• Some developments in general variational inequalities
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• Infinite dimensional duality and applications
• Regularity results for evolutionary nonlinear variational and quasi-variational inequalities with applications to dynamic equilibrium problems
• Continuity of solutions for parametric variational inequalities in Banach space
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Duality theory for the dynamic oligopolistic market equilibrium problem
• Pseudo-Convex Functions

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