Existence of solutions of vector variational inequalities and vector complementarity problems

DOI10.1007/s10898-008-9375-xzbMath1226.49015OpenAlexW2041084300MaRDI QIDQ1037360

Qamrul Hasan Ansari, A. P. Farajzadeh, Siegfried Schaible

Publication date: 16 November 2009

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-008-9375-x

zbMATH Keywords

vector variational inequalitiesKKM mappingpositively homogeneous mappings\(C_{x}\)-pseudomonotonicity\(C_{x}\)-upper sign continuityvector \(F\)-complementarity problems

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Set-valued functions (26E25) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Unilateral problems for mixed-type systems of PDEs and systems of variational inequalities with partial differential operators of mixed type (35M87)

Related Items (5)

Existence of solutions for extended generalized complementarity problems ⋮ An intersection theorem for set-valued mappings ⋮ A topological approach for vector quasi-variational inequalities with set-valued functions ⋮ On the Brézis Nirenberg Stampacchia-type theorems and their applications ⋮ Invariant-point theorems and existence of solutions to optimization-related problems

Cites Work

• Recent results in analytical fixed point theory
• On the semi-monotone operator theory and applications
• The vector \(F\)-complementary problems with demipseudomonotone mappings in Banach spaces
• Vector variational inequalities and vector equilibria. Mathematical theories
• Strong vector \(F\)-complementary problem and least element problem of feasible set
• Complementarity, equilibrium, efficiency and economics
• Topological methods in complementarity theory
• Quasimonotone variational inequalities in Banach spaces
• Transfer Method for Characterizing the Existence of Maximal Elements of Binary Relations on Compact or Noncompact Sets
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Existence of solutions of vector variational inequalities and vector complementarity problems