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A characterization of generalized Levitin–Polyak well-posedness for parametric symmetric strong vector quasi-equilibrium problems and its application
A characterization of generalized Levitin–Polyak well-posedness for parametric symmetric strong vector quasi-equilibrium problems and its application
Nguyễn Văn Hưng
This paper aims to investigate the Levitin–Polyak (LP)-wellposedness
of parametric symmetric strong vector quasi-equilibrium
problems. Firstly, we consider symmetric strong vector quasiequilibrium problems under perturbations. Secondly, we study
the concept of upper semicontinuity in the setting of variable
conic structures for vector-valued mappings and explore their
properties. Thirdly, we establish the LP-well-posedness and generalized LP-well-posedness for these problems under appropriate
conditions. Furthermore, employing the Hausdorff measure to
assess non-compactness, we investigate the metric characterization
of generalized LP-well-posedness for parametric symmetric
strong vector quasi-equilibrium problems. As a final application,
we delve into the LP-well-posedness of symmetric strong vector
quasi-variational inequality problems. The results in this paper are
novel and enhance several key findings in the existing literature. To
illustrate these results, we present multiple examples.
Xuất bản trên:
A characterization of generalized Levitin–Polyak well-posedness for parametric symmetric strong vector quasi-equilibrium problems and its application
Ngày đăng:
2026
Nhà xuất bản:
OPTIMIZATION
Địa điểm:
Từ khoá:
Symmetric strong vector quasi-equilibrium problems; Levitin–Polyak well-posedness; Levitin–Polyak well-posedness in the generalized sense; symmetric strong vector quasi-variational inequality problems
