Gap function for set-valued vector variational-like inequalities

DOI10.1007/s10957-008-9401-7zbMath1146.58009OpenAlexW2018502148MaRDI QIDQ937141

B. E. Eshmatov

Publication date: 20 August 2008

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

Full work available at URL: https://doi.org/10.1007/s10957-008-9401-7

zbMATH Keywords

set-valued mappingssemidefinite programminggap functionsexistence of a solutionvector variational-like inequalities

Mathematics Subject Classification ID

Semidefinite programming (90C22) Variational inequalities (49J40) Set-valued and variational analysis (49J53) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)

Related Items (4)

Painlevé-Kuratowski convergence of minimal solutions for set-valued optimization problems via improvement sets ⋮ On the image space analysis for vector quasi-equilibrium problems with a variable ordering relation ⋮ Generalized Stampacchia vector variational-like inequalities and vector optimization problems involving set-valued maps ⋮ An Oriented Distance Function Application to Gap Functions for Vector Variational Inequalities

Cites Work

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• Existence of solutions for a vector variational inequality: An extension of the Hartmann-Stampacchia theorem
• On the generalized vector variational inequality problem
• Generalized vector variational inequalities
• Vector equilibrium problem and vector optimization
• Gap functions and existence of solutions to set-valued vector variational inequalities
• A variational-like inequality problem
• Generalised variational-like inequalities and a gap function
• Existence theorems for vector variational inequalities
• On nondifferentiable and nonconvex vector optimization problems

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