Approximate proximal algorithms for generalized variational inequalities with paramonotonicity and pseudomonotonicity

DOI10.1016/j.camwa.2007.06.010zbMath1147.49006OpenAlexW2171566464MaRDI QIDQ931762

B. E. Eshmatov

Publication date: 26 June 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.06.010

zbMATH Keywords

weak convergencemonotone operatorsgeneralized variational inequalitiesapproximate proximal algorithmsweak accumulation points

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25)

Related Items (6)

A projection algorithm for non-monotone variational inequalities ⋮ Hybrid proximal-type algorithms for generalized equilibrium problems, maximal monotone operators, and relatively nonexpansive mappings ⋮ Hybrid shrinking projection method for a generalized equilibrium problem, a maximal monotone operator and a countable family of relatively nonexpansive mappings ⋮ Strong convergence theorems for maximal monotone operators in Banach spaces ⋮ Hybrid Proximal-Type and Hybrid Shrinking Projection Algorithms for Equilibrium Problems, Maximal Monotone Operators, and Relatively Nonexpansive Mappings ⋮ An iterative algorithm for solving generalized variational inequality problems and fixed point problems

Cites Work

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• Variational inequality
• Variational inequalities with nonmonotone operators
• Variational and generalized variational inequalities with discontinuous mappings
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• Approximate proximal algorithms for generalized variational inequalities with pseudomonotone multifunctions
• On some non-linear elliptic differential functional equations
• An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions
• An iterative solution of a variational inequality for certain monotone operators in Hilbert space
• Variational Inequalities with Generalized Monotone Operators
• An Outer Approximation Method for the Variational Inequality Problem
• Nonlinear Eigenvalue Problems and Group Invariance

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