On the proximal mapping for multi-valued monotone variational inequality problems

DOI10.1007/s11590-022-01879-5OpenAlexW4226443666MaRDI QIDQ2688918

Xuan Thanh Le, Le Dung Muu, Nguyen Ngoc Hai

Publication date: 6 March 2023

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-022-01879-5

zbMATH Keywords

monotonicityvariational inequalityequilibriamulti-valued mappingproximal mappingnonexpansiveness

Mathematics Subject Classification ID

Mathematical programming (90Cxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Some conditions for maximal monotonicity of bifunctions
• Iterative methods for fixed point problems in Hilbert spaces
• Nonlinear programming and variational inequality problems. A unified approach
• Combined relaxation methods for variational inequalities
• Nonlinear programming techniques for equilibria
• Multivalued mixed variational inequalities with locally Lipschitzian and locally cocoercive multivalued mappings
• Convergence of an adaptive penalty scheme for finding constrained equilibria
• The Solution by Iteration of Nonlinear Equations in Hilbert Spaces
• Monotone Operators and the Proximal Point Algorithm
• Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
• Variational Analysis
• An Introduction to Variational Inequalities and Their Applications
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Convex analysis and monotone operator theory in Hilbert spaces

This page was built for publication: On the proximal mapping for multi-valued monotone variational inequality problems