Existence of solutions to generalized vector variational-like inequalities

DOI10.1007/s10957-010-9659-4zbMath1207.90089OpenAlexW2047615233MaRDI QIDQ711704

A. P. Farajzadeh, Kaleem Raza Kazmi, Alireza Amini-Harandi

Publication date: 27 October 2010

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

Full work available at URL: https://doi.org/10.1007/s10957-010-9659-4

zbMATH Keywords

KKM mappinggeneralized vector variational-like inequalities\(C\)-\(\eta \)-strong pseudomonotone mappingC-upper sign-continuous mapping

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (4)

On set-valued optimization problems and vector variational-like inequalities ⋮ Generalized Stampacchia vector variational-like inequalities and vector optimization problems involving set-valued maps ⋮ A solution method for linear variational relation problems ⋮ Nonlinear ordered variational inclusion problem involving XOR operation with fuzzy mappings

Cites Work

• Existence results for systems of strong implicit vector variational inequalities
• Existence results for generalized implicit vector variational inequalities with multivalued mappings
• An abstract problem in variational analysis
• Existences theorems of systems of vector quasi-equillibrium problems and mathematical programs with equilibrium constraint
• Existence of solutions to a generalized system
• A minimax theorem for vector-valued functions
• Vector variational inequalities and vector equilibria. Mathematical theories
• Coercivity conditions for equilibrium problems
• Strong vector variational inequalities in Banach spaces
• A hahn-banach theorem in ordered linear spaces and its applications
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