The proximal point method for nonmonotone variational inequalities

DOI10.1007/s00186-005-0052-2zbMath1134.90492OpenAlexW2088612862MaRDI QIDQ2474562

Elisabetta Allevi, Igor V. Konnov, Adriana Gnudi

Publication date: 6 March 2008

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00186-005-0052-2

zbMATH Keywords

multivalued variational inequalitiesnonmonotone mappingsbox-constrained setsProximal point method

Mathematics Subject Classification ID

Nonlinear programming (90C30) Special types of economic equilibria (91B52) Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Uses Software

• QPCOMP

Cites Work

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• Application of the proximal point method to nonmonotone equilibrium problems
• Gross substitutability of point-to-set correspondences
• Browder-Hartman-Stampacchia variational inequalities for multi-valued monotone operators
• Generalized variational inequalities
• On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
• On quasimonotone variational inequalities
• Nonlinear programming and variational inequality problems. A unified approach
• Tikhonov regularization methods for variational inequality problems
• Multi-valued variational inequalities with \(K\)-pseudomonotone operators
• QPCOMP: A quadratic programming based solver for mixed complementarity problems
• Pseudomonotone variational inequality problems: Existence of solutions
• Equilibrium programming using proximal-like algorithms
• A general approach to the determination of stationary points and the solution of related problems.
• Combined relaxation methods for variational inequalities
• Characterization of nonsmooth semistrictly quasiconvex and strictly quasiconvex functions
• Mixed variational inequalities and economic equilibrium problems
• Coercivity conditions and variational inequalities
• On P- and S-functions and related classes of \(n\)-dimensional nonlinear mappings
• Monotone Operators and the Proximal Point Algorithm
• Extension of the Generalized Complementarity Problem
• Beyond Monotonicity in Regularization Methods for Nonlinear Complementarity Problems
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Pseudomonotone variational inequalities: Convergence of proximal methods