On the solution existence of pseudomonotone variational inequalities

DOI10.1007/s10898-007-9251-0zbMath1149.49011OpenAlexW1974609925MaRDI QIDQ933793

Jen-Chih Yao, Nguyen Dong Yen, Bui Trong Kien

Publication date: 25 July 2008

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

Full work available at URL: https://doi.org/10.1007/s10898-007-9251-0

zbMATH Keywords

variational inequalitypseudomonotone operatordegree theorysolution existencegeneralized variational inequality

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40)

Related Items (23)

Degree theory for generalized mixed quasi-variational inequalities and its applications ⋮ Partial solution for an open question on pseudomonotone variational inequalities ⋮ Existence of solutions for mixed variational inequalities with perturbation in Banach spaces ⋮ Accelerated schemes for a class of variational inequalities ⋮ On the existence of solutions to stochastic quasi-variational inequality and complementarity problems ⋮ Krasnoselski-Mann iterations for hierarchical fixed point problems for a finite family of nonself mappings in Banach spaces ⋮ Dynamical systems for solving variational inequalities ⋮ Variational inequalities governed by strongly pseudomonotone vector fields on Hadamard manifolds ⋮ An existence theorem for generalized variational inequalities with discontinuous and pseudomonotone operators ⋮ Degree theory and solution existence of set-valued vector variational inequalities in reflexive Banach spaces ⋮ Degree theory for a generalized set-valued variational inequality with an application in Banach spaces ⋮ Two modified extragradient algorithms for solving variational inequalities ⋮ New extragradient-like algorithms for strongly pseudomonotone variational inequalities ⋮ Pseudomonotone operators and the Bregman proximal point algorithm ⋮ Solution methods for pseudomonotone variational inequalities ⋮ Interior proximal method without the cutting plane property ⋮ Qualitative properties of strongly pseudomonotone variational inequalities ⋮ The degree theory for set-valued compact perturbation of monotone-type mappings with an application ⋮ On generalized variational inequalities ⋮ Inertial extragradient algorithms for strongly pseudomonotone variational inequalities ⋮ The Galerkin method and regularization for variational inequalities in reflexive Banach spaces ⋮ Solution existence of variational inequalities with pseudomonotone operators in the sense of Brézis ⋮ Existence theorems for relaxed \(\eta\)-\(\alpha\) pseudomonotone and strictly \(\eta\)-quasimonotone generalized variational-like inequalities

Cites Work

• On quasimonotone variational inequalities.
• Minimal coercivity conditions and exceptional families of elements in quasimonotone variational inequalities
• Generalized variational inequalities
• Complementarity problems over cones with monotone and pseudomonotone maps
• Tikhonov regularization methods for variational inequality problems
• Variational inequalities with nonmonotone operators
• Pseudomonotone variational inequality problems: Existence of solutions
• Coercivity conditions and variational inequalities
• Tikhonov regularization algorithm for pseudomonotone variational inequalities
• Regularization of nonmonotone variational inequalities
• On some non-linear elliptic differential functional equations
• Variational Inequalities with Generalized Monotone Operators
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Pseudomonotone Complementarity Problems and Variational Inequalities
• Generalized Monotone Equilibrium Problems and Variational Inequalities
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the solution existence of pseudomonotone variational inequalities