Variational inequalities for \((\eta,\theta)\)-pseudomonotone operators in nonreflexive Banach spaces

DOI10.1016/S0893-9659(99)00050-6zbMath0954.47052OpenAlexW2984746387MaRDI QIDQ1808452

Gue Myung Lee, Byung-Soo Lee

Publication date: 29 January 2001

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

Full work available at URL: https://doi.org/10.1016/s0893-9659(99)00050-6

zbMATH Keywords

variational problemgeneralized monotonicityhemicontinuous operator

Mathematics Subject Classification ID

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

Related Items

Upper semicontinuity of solution maps for a parametric weak vector variational inequality ⋮ Variational-like inequalities and equilibrium problems with generalized monotonicity in Banach spaces ⋮ Generalized vector equilibrium problem with pseudomonotone mappings ⋮ Applications of Generalized Monotonicity to Variational-Like Inequalities and Equilibrium Problems ⋮ Variational-type inequalities for \((\eta,\theta,\delta)\)-pseudomonotone-type set-valued mappings in nonreflexive Banach spaces

Cites Work

• Variational inequalities involving strongly pseudomonotone hemicontinuous mappings in nonreflexive Banach spaces
• A generalization of Tychonoff's fixed point theorem
• Variational inequalities, complementarity problems, and duality theorems
• Variational inequalities with nonmonotone operators
• Variational inequalities in nonreflexive Banach spaces
• Variational inequalities for monotone operators in nonreflexive Banach spaces
• On some non-linear elliptic differential functional equations
• Sensitivity Analysis in Variational Inequalities
• Nonlinear Elliptic Boundary Value Problems. II