On Lipschitz continuity of solutions to equilibrium problems via the Hiriart-Urruty oriented distance function
From MaRDI portal
Publication:2115033
DOI10.1007/s40314-022-01758-wzbMath1499.49077OpenAlexW4207032736MaRDI QIDQ2115033
Pham Thanh Duoc, Nguyen Minh Tung, Lam Quoc Anh
Publication date: 15 March 2022
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-022-01758-w
Lipschitz continuityequilibrium problemnonlinear scalarization functionnetwork equilibrium problemHiriart-Urruty oriented distance function
Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) General equilibrium theory (91B50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On generalized quasi-vector equilibrium problems via scalarization method
- On Hölder continuity of approximate solutions to parametric equilibrium problems
- Lipschitz continuity of an approximate solution mapping to equilibrium problems
- Existence of solutions of generalized vector equilibrium problems in reflexive Banach spaces
- Continuity of solution maps to parametric set optimization problems via parametric equilibrium problems
- Entropy optimization and mathematical programming
- Equilibrium problems and applications
- Regularized gap functions and error bounds for generalized mixed strong vector quasiequilibrium problems
- Optimality conditions for vector equilibrium problems with applications
- Lipschitz continuity of approximate solution mappings to parametric generalized vector equilibrium problems
- A note on existence of weak efficient solutions for vector equilibrium problems
- Convexity for set-valued maps
- Scalarization in set optimization with solid and nonsolid ordering cones
- Scalarizations for a set optimization problem using generalized oriented distance function
- Continuity of approximate solution maps to vector equilibrium problems
- First-order optimality conditions in set-valued optimization
- On the Hölder continuity of approximate solution mappings to parametric weak generalized Ky Fan Inequality
- Hölder continuity results for nonconvex parametric generalized vector quasiequilibrium problems via nonlinear scalarizing functions
- Lipschitz continuity of an approximate solution mapping for parametric set-valued vector equilibrium problems
- Existence results for -quasimonotone equilibrium problems in convex metric spaces
- A Hausdorff-type distance, a directional derivative of a set-valued map and applications in set optimization
- Existence Of Nearest Points In Banach Spaces
- Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
- Variational Analysis
- Characterizations of set order relations and constrained set optimization problems via oriented distance function
- On Hölder continuity of approximate solution maps to vector equilibrium problems
- Lipschitz Continuity of Solutions of Variational Inequalities with a Parametric Polyhedral Constraint
- Six set scalarizations based on the oriented distance: properties and application to set optimization
- Versions of the Weierstrass Theorem for Bifunctions and Solution Existence in Optimization
- Nonlinear scalarizing functions in set optimization problems
- Set-valued Optimization
- On Lipschitz continuity of approximate solutions to set-valued equilibrium problems via nonlinear scalarization
