A set scalarization function and Dini directional derivatives with applications in set optimization problems
From MaRDI portal
Publication:5090000
DOI10.23952/jnva.5.2021.6.05OpenAlexW4243291509MaRDI QIDQ5090000
Ching-Feng Wen, Yu Han, Nan-Jing Huang
Publication date: 15 July 2022
Published in: Journal of Nonlinear and Variational Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.23952/jnva.5.2021.6.05
optimality conditionset optimization problemoriented distance functiondini directional derivativeset scalarization function
Related Items
New concepts of directional derivatives for set-valued maps and applications to set optimization ⋮ Ekeland’s variational principle with a scalarization type weighted set order relation ⋮ Optimality and error bound for set optimization with application to uncertain multi-objective programming
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonconvex separation theorems and some applications in vector optimization
- Well-posedness and scalarization in vector optimization
- Nonconvex scalarization in set optimization with set-valued maps
- Lagrange multipliers for \(\varepsilon \)-Pareto solutions in vector optimization with nonsolid cones in Banach spaces
- Merit functions in vector optimization
- Variational methods in partially ordered spaces
- Continuity and convexity of a nonlinear scalarizing function in set optimization problems with applications
- Scalarization and stability in vector optimization
- On the vectorial Ekeland's variational principle and minimal points in product spaces
- Well-posedness and stability in set optimization with applications
- Existence of efficient and properly efficient solutions to problems of constrained vector optimization
- Characterization of set relations through extensions of the oriented distance
- Scalarizations for a set optimization problem using generalized oriented distance function
- Properties of the nonlinear scalar functional and its applications to vector optimization problems
- A nonlinear scalarization function and generalized quasi-vector equilibrium problems
- A new nonlinear scalarization function and applications
- Vector Optimization
- A Hausdorff-type distance, a directional derivative of a set-valued map and applications in set optimization
- Duality for Set-Valued Measures of Risk
- Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
- Degrees of Efficiency and Degrees of Minimality
- Characterizations of set relations with respect to variable domination structures via oriented distance function
- Characterizations of set order relations and constrained set optimization problems via oriented distance function
- A set scalarization function based on the oriented distance and relations with other set scalarizations
- On the stability of minimal solutions for parametric set optimization problems
- A Hausdorff-type distance, the Clarke generalized directional derivative and applications in set optimization problems
- A monotone Bregan projection algorithm for fixed point and equilibrium problems in a reflexive Banach space
- Six set scalarizations based on the oriented distance: properties and application to set optimization
- Nonlinear scalarizing functions in set optimization problems
- Set-valued Optimization
- Dini derivatives in optimization — Part I
