Stability of Vector Optimization Problems Under Approximate Equilibrium Constraints via Free-Disposal Sets Article Swipe
ZENG Yue
,
Zai-Yun Peng
,
Renli Liang
,
SHAO Chongyang
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.21656/1000-0887.410244
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.21656/1000-0887.410244
The stability of vector optimization problems under approximate equilibrium constraints (AOPVF) via free-disposal sets was discussed. Firstly, the Berge-semicontinuity of the constraint set mapping and the closedness, the convexity and the compactness of the constraint set were obtained with the weaker convexity assumption. Moreover, under the assumption of Gamma-convergence for the objective functional sequences, the lower Painlevé-Kuratowski convergence of the weak efficient solution set and the Berge-semicontinuity of weak efficient solution mappings for AOPVF were obtained respectively. Some examples illustrate that the results are new and meaningful.
Related Topics
Concepts
Convexity
Constraint (computer-aided design)
Compact space
Mathematics
Convergence (economics)
Stability (learning theory)
Mathematical optimization
Set (abstract data type)
Solution set
Vector optimization
Applied mathematics
Optimization problem
Computer science
Mathematical analysis
Geometry
Economic growth
Multi-swarm optimization
Economics
Programming language
Financial economics
Machine learning
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.21656/1000-0887.410244
- OA Status
- diamond
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3202905603
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3202905603Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.21656/1000-0887.410244Digital Object Identifier
- Title
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Stability of Vector Optimization Problems Under Approximate Equilibrium Constraints via Free-Disposal SetsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2021Year of publication
- Publication date
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2021-01-01Full publication date if available
- Authors
-
ZENG Yue, Zai-Yun Peng, Renli Liang, SHAO ChongyangList of authors in order
- Landing page
-
https://doi.org/10.21656/1000-0887.410244Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
-
diamondOpen access status per OpenAlex
- OA URL
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https://doi.org/10.21656/1000-0887.410244Direct OA link when available
- Concepts
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Convexity, Constraint (computer-aided design), Compact space, Mathematics, Convergence (economics), Stability (learning theory), Mathematical optimization, Set (abstract data type), Solution set, Vector optimization, Applied mathematics, Optimization problem, Computer science, Mathematical analysis, Geometry, Economic growth, Multi-swarm optimization, Economics, Programming language, Financial economics, Machine learningTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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