Continuity of solutions for parametric set optimization problems via scalarization methods
DOI10.1007/s40305-018-0230-6zbMath1474.90462OpenAlexW2902026936WikidataQ128861237 ScholiaQ128861237MaRDI QIDQ2033985
Hong-Zhi Wei, Pei-Pei Liu, Sheng Jie Li, Chun-Rong Chen
Publication date: 18 June 2021
Published in: Journal of the Operations Research Society of China (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40305-018-0230-6
monotonicityupper semicontinuitylower semicontinuityscalarizationparametric set optimization problems
Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31)
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Cites Work
- Unnamed Item
- Vectorization in set optimization
- On the solution continuity of parametric set optimization problems
- Pointwise well-posedness in set optimization with cone proper sets
- Four types of nonlinear scalarizations and some applications in set optimization
- Continuity of the solution set mappings to a parametric set optimization problem
- Scalarization and pointwise well-posedness for set optimization problems
- New order relations in set optimization
- Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems
- A mountain pass-type theorem for vector-valued functions
- Optimality conditions for set-valued maps with set optimization
- Well-posedness for set optimization problems
- Solution semicontinuity of parametric generalized vector equilibrium problems
- A minimax theorem for vector-valued functions
- Some variants of the Ekeland variational principle for a set-valued map
- Scalarization and stability in vector optimization
- On set-valued optimization.
- Existence theorems for set optimization problems
- Continuity of the solution mapping to parametric generalized vector equilibrium problems
- On the lower semicontinuity of the solution mappings to parametric weak generalized Ky Fan inequality
- Lagrangian duality in set-valued optimization
- Stability results for efficient solutions of vector optimization problems
- On the stability of the solution set mappings to parametric set optimization problems
- Vector equilibrium problems under improvement sets and linear scalarization with stability applications
- Treatment of set order relations by means of a nonlinear scalarization functional: a full characterization
- Well-posedness and stability of solutions for set optimization problems
- Vector Optimization
- Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
- On cone convexity of set-valued maps
- Existence theorems of set optimization with set-valued maps
- Characterizations of set order relations and constrained set optimization problems via oriented distance function
- Semicontinuity of Approximate Solution Mappings to Parametric Set-Valued Weak Vector Equilibrium Problems
- Set-valued Optimization
- Optimization with set relations: conjugate duality
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