Order-preservation of solution correspondence for parametric generalized variational inequalities on Banach lattices

DOI10.1186/s13663-015-0360-zzbMath1477.47054OpenAlexW1587415225WikidataQ59434849 ScholiaQ59434849MaRDI QIDQ287574

Yuehu Wang, Cong-Jun Zhang

Publication date: 20 May 2016

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

Full work available at URL: https://doi.org/10.1186/s13663-015-0360-z

zbMATH Keywords

Banach latticesequilibrium problemsorder-preservationorder-theoretic fixed pointparametric generalized variational inequalities

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (5)

Order-preservation properties of resolvent operators and their applications to variational inequalities ⋮ Isotonicity of the metric projection by Lorentz cone and variational inequalities ⋮ Order preservation of solution correspondence to single-parameter generalized variational inequalities on Hilbert lattices ⋮ Order-preservation properties of solution mapping for parametric equilibrium problems and their applications ⋮ Upper order-preservation of the solution correspondence to vector equilibrium problems

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