Solution existence of variational inequalities with pseudomonotone operators in the sense of Brézis

DOI10.1007/s10957-008-9446-7zbMath1162.58006OpenAlexW2023758742MaRDI QIDQ1016395

Mu-Ming Wong, Jen-Chih Yao, Ngai-Ching Wong, Bui Trong Kien

Publication date: 5 May 2009

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

Full work available at URL: https://doi.org/10.1007/s10957-008-9446-7

zbMATH Keywords

variational inequalitiespseudomonotone operatorsgeneralized variational inequalitiessolution existence

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)

Related Items

Regularization of Brézis pseudomonotone variational inequalities, Krasnoselski-Mann iterations for hierarchical fixed point problems for a finite family of nonself mappings in Banach spaces, An improved algorithm with Armijo line-search rule for solving pseudomonotone variational inequality problems in Banach spaces, Brezis pseudomonotonicity is strictly weaker than Ky-Fan hemicontinuity, An existence theorem for generalized variational inequalities with discontinuous and pseudomonotone operators, The Galerkin method and regularization for variational inequalities in reflexive Banach spaces, Lower semicontinuity of the solution map to a parametric generalized variational inequality in reflexive Banach spaces, Variational inequalities for perturbations of maximal monotone operators in reflexive Banach spaces

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