Generalized partially relaxed pseudomonotone variational inequalities and general auxiliary problem principle

DOI10.1155/JIA/2006/90295zbMath1090.49017WikidataQ59212919 ScholiaQ59212919MaRDI QIDQ2491544

Ram U. Verma

Publication date: 29 May 2006

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/126143

zbMATH Keywords

variational inequalityHilbert spaceauxiliary principle

Mathematics Subject Classification ID

Variational inequalities (49J40)

Related Items (3)

Second order monotonicities and second order variational-like inequality problems ⋮ Sensitivity analysis for cocoercively monotone variational inclusions and \(( A , \eta)\)-maximal monotonicity ⋮ Existence and iterative approximation of solutions of generalized mixed quasi-variational-like inequality problem in Banach spaces

Cites Work

• Auxiliary problem principle and decomposition of optimization problems
• Auxiliary problem principle extended to variational inequalities
• On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
• Complementarity problems over cones with monotone and pseudomonotone maps
• Partial relaxed monotonicity and general auxiliary problem principle with applications
• Partially relaxed cocoercive variational inequalities and auxiliary problem principle
• Seven kinds of monotone maps
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• Monotone Operators and the Proximal Point Algorithm
• Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
• Nonlinear Variational and Constrained Hemivariational Inequalities Involving Relaxed Operators
• Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming
• A new class of iterative algorithms for approximation-solvability of nonlinear variational inequalities
• Pseudomonotone variational inequalities: Convergence of proximal methods
• Pseudomonotone variational inequalities: convergence of the auxiliary problem method
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