Gap functions and error bounds for generalized mixed vector equilibrium problems

DOI10.1007/s10957-014-0683-7zbMath1327.49021OpenAlexW1991313396MaRDI QIDQ495725

Suhel Ahmad Khan, Jia-wei Chen

Publication date: 15 September 2015

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

Full work available at URL: https://doi.org/10.1007/s10957-014-0683-7

zbMATH Keywords

regularizationerror boundsgap functionsgeneralized vector equilibrium problemstrongly monotone mapping

Mathematics Subject Classification ID

Convex programming (90C25) Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Cites Work

• Unnamed Item
• Gap functions and error bounds for generalized vector variational inequalities
• Generalized vector implicit quasi complementarity problems
• Gap functions for quasivariational inequalities and generalized Nash equilibrium problems
• Gap functions and existence of solutions for a system of vector equilibrium problems
• Vector variational inequalities involving set-valued mappings via scalarization with applications to error bounds for gap functions
• Existence of solutions to a generalized system
• Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
• Gap functions for equilibrium problems
• Vector variational inequalities and vector equilibria. Mathematical theories
• Equivalent optimization formulations and error bounds for variational inequality problems
• A Wiener-Hopf dynamical system for mixed equilibrium problems
• An extension of gap functions for a system of vector equilibrium problems with applications to optimization problems
• Gap functions and existence of solutions to generalized vector quasi-equilibrium problems
• A nonlinear scalarization function and generalized quasi-vector equilibrium problems
• Gap functions for generalized vector equilibrium problems via conjugate duality and applications
• Error Bounds of Generalized D-Gap Functions for Nonsmooth and Nonmonotone Variational Inequality Problems
• Gap functions and error bounds for weak vector variational inequalities
• Implicit vector equilibrium problems via nonlinear scalarisation