The vector \(F\)-complementary problems with demipseudomonotone mappings in Banach spaces

DOI10.1016/S0893-9659(03)90089-9zbMath1087.90075MaRDI QIDQ1431968

Ya-Ping Fang, Nan-Jing Huang

Publication date: 11 June 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

vector variational inequalitypseudomonotone mappingdemipseudomonotone mappingvector \(F\)-complementary problem

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Existence of solutions for extended generalized complementarity problems ⋮ Mixed equilibrium problems with \(Z^*\)-bifunctions and least element problems in Banach lattices ⋮ Existence of solutions and error bound for vector variational inequalities in Banach spaces ⋮ Vector equilibrium type problems with (S)₊-conditions ⋮ Existence results for vector mixed quasi-complementarity problems ⋮ Feasibility and solvability for vector complementarity problems ⋮ A topological approach for vector quasi-variational inequalities with set-valued functions ⋮ Vector complementarity problems with a variable ordering relation ⋮ General Mixed Vector F-Implicit Complementarity Problems in Banach Spaces ⋮ Generalized \(f\)-complementarity problems in Banach spaces ⋮ Vector \(F\)-implicit complementarity problems in topological vector spaces ⋮ Generalized vector implicit complementarity problems with corresponding variational inequality problems ⋮ Generalized vector complementarity problems with moving cones ⋮ Vector \(F\)-implicit complementarity problems in Banach spaces ⋮ Generalized vector complementarity-type problems in topological vector spaces ⋮ Existence results for systems of vector equilibrium problems ⋮ Vector \(F\)-implicit complementarity problems with corresponding variational inequality problems ⋮ Feasibility and solvability of vector variational inequalities with moving cones in Banach spaces ⋮ Generalized vector \(F\)-variational inequalities and vectorf-complementarity problems for point-to-set mappings ⋮ Existence of solutions of vector variational inequalities and vector complementarity problems

Cites Work

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• The vector complementary problem and its equivalences with the weak minimal element in ordered spaces
• Some properties of convex sets related to fixed point theorems
• Complementarity problems over cones with monotone and pseudomonotone maps
• On the semi-monotone operator theory and applications
• Pseudo-monotone complementarity problems in Hilbert space
• Vector complementarity and minimal element problems
• Existence of generalized variational inequalities
• Nonlinear variational inequalities on convex subsets of Banach spaces
• Quasimonotone variational inequalities in Banach spaces
• A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
• Existence results for densely pseudomonotone variational inequalities