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Stability of Nonhomogeneous Split Equality and Split Feasibility Problems with Possibly Nonconvex Constraint Sets

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Title: Stability of Nonhomogeneous Split Equality and Split Feasibility Problems with Possibly Nonconvex Constraint Sets
Authors: Huong, Vu Thi, Xu, Hong-Kun, Yen, Nguyen Dong
Publication Year: 2024
Collection: Mathematics
Subject Terms: Mathematics - Optimization and Control, 49J53, 49K40, 65K10, 90C25, 90C31
More Details: By applying some techniques of set-valued and variational analysis, we study solution stability of nonhomogeneous split equality problems and nonhomogeneous split feasibility problems, where the constraint sets need not be convex. Necessary and sufficient conditions for the Lipschitz-likeness of the solution maps of the problems are given and illustrated by concrete examples. The obtained results complement those given in [Huong VT, Xu HK, Yen ND. Stability analysis of split equality and split feasibility problems. arXiv:2410.16856.], where classical split equality problems and split feasibility problems have been considered.
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2411.11019
Accession Number: edsarx.2411.11019
Database: arXiv
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  Label: Title
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  Data: Stability of Nonhomogeneous Split Equality and Split Feasibility Problems with Possibly Nonconvex Constraint Sets
– Name: Author
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  Data: <searchLink fieldCode="AR" term="%22Huong%2C+Vu+Thi%22">Huong, Vu Thi</searchLink><br /><searchLink fieldCode="AR" term="%22Xu%2C+Hong-Kun%22">Xu, Hong-Kun</searchLink><br /><searchLink fieldCode="AR" term="%22Yen%2C+Nguyen+Dong%22">Yen, Nguyen Dong</searchLink>
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  Data: 2024
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  Data: Mathematics
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– Name: Abstract
  Label: Description
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  Data: By applying some techniques of set-valued and variational analysis, we study solution stability of nonhomogeneous split equality problems and nonhomogeneous split feasibility problems, where the constraint sets need not be convex. Necessary and sufficient conditions for the Lipschitz-likeness of the solution maps of the problems are given and illustrated by concrete examples. The obtained results complement those given in [Huong VT, Xu HK, Yen ND. Stability analysis of split equality and split feasibility problems. arXiv:2410.16856.], where classical split equality problems and split feasibility problems have been considered.
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RecordInfo BibRecord:
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      – SubjectFull: Mathematics - Optimization and Control
        Type: general
      – SubjectFull: 49J53, 49K40, 65K10, 90C25, 90C31
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      – TitleFull: Stability of Nonhomogeneous Split Equality and Split Feasibility Problems with Possibly Nonconvex Constraint Sets
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            NameFull: Huong, Vu Thi
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            NameFull: Xu, Hong-Kun
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            NameFull: Yen, Nguyen Dong
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              Y: 2024
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