Weak sharp minima for set-valued vector variational inequalities with an application
From MaRDI portal
Publication:976439
DOI10.1016/j.ejor.2010.01.004zbMath1282.49007OpenAlexW1978957176MaRDI QIDQ976439
Nan-Jing Huang, Xiao Qi Yang, Jun Li
Publication date: 11 June 2010
Published in: European Journal of Operational Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejor.2010.01.004
variational inequalitygap functionstrong convexitystrong pseudomonotonicityset-valued strong vectorset-valued weak vectorweak sharp minimum
Multi-objective and goal programming (90C29) Variational inequalities (49J40) Applications of renewal theory (reliability, demand theory, etc.) (60K10)
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Cites Work
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- Structure and weak sharp minimum of the Pareto solution set for piecewise linear multiobjective optimization
- The vector complementary problem and its equivalences with the weak minimal element in ordered spaces
- Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
- Weak sharp minima for piecewise linear multiobjective optimization in normed spaces
- Weak sharp minima revisited. III: Error bounds for differentiable convex inclusions
- Vector variational inequalities involving set-valued mappings via scalarization with applications to error bounds for gap functions
- Error bounds in mathematical programming
- Vector variational inequalities and vector equilibria. Mathematical theories
- Gap functions and existence of solutions to set-valued vector variational inequalities
- Coercivity conditions and variational inequalities
- Vector optimization. Set-valued and variational analysis.
- A scalarization approach for vector variational inequalities with applications
- Weak sharp minima revisited. II: Application to linear regularity and error bounds
- Weak Sharp Minima in Mathematical Programming
- Weak Sharp Minima for Semi-infinite Optimization Problems with Applications
- Weak Sharp Solutions of Variational Inequalities
- Variational Analysis
- Sharp Estimates for Hoffman's Constant for Systems of Linear Inequalities and Equalities
- Weak Sharp Solutions of Variational Inequalities in Hilbert Spaces
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Weak Sharp Minima in Multicriteria Linear Programming