Order preservation of solution correspondence to single-parameter generalized variational inequalities on Hilbert lattices

DOI10.1007/s11784-016-0398-5zbMath1377.49011OpenAlexW2563592612MaRDI QIDQ1687176

Shu-qin Sun

Publication date: 22 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0398-5

zbMATH Keywords

Tikhonov regularizationgeneralized variational inequalitiesHilbert latticeorder preservationorder-minimal solutions

Mathematics Subject Classification ID

Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (1)

Order-preservation properties of solution mapping for parametric equilibrium problems and their applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Order-preservation of solution correspondence for parametric generalized variational inequalities on Banach lattices
• The Tikhonov regularization method for set-valued variational inequalities
• The existence of maximum and minimum solutions to general variational inequalities in the Hilbert lattices
• Optimal solutions to variational inequalities on Banach lattices
• Stable pseudomonotone variational inequality in reflexive Banach spaces
• Banach lattices
• The generalized projection operator on reflexive Banach spaces and its applications
• Iterative methods for nonlinear complementarity problems on isotone projection cones
• Solvability of Variational Inequalities on Hilbert Lattices
• 10.1007/s11470-008-3001-3
• Beyond Monotonicity in Regularization Methods for Nonlinear Complementarity Problems
• Fixed Points of Order Preserving Multifunctions

This page was built for publication: Order preservation of solution correspondence to single-parameter generalized variational inequalities on Hilbert lattices