Ekeland's variational principle for the set-valued map with variable ordering structures and applications
From MaRDI portal
Publication:6086967
DOI10.3934/jimo.2023076OpenAlexW4381662502MaRDI QIDQ6086967
Ke Quan Zhao, Zhenyu Tang, Zhiang Zhou
Publication date: 11 December 2023
Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jimo.2023076
Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Set-valued and variational analysis (49J53)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Ha's version of set-valued Ekeland's variational principle
- Properly optimal elements in vector optimization with variable ordering structures
- Vector optimization problems via improvement sets
- Optimal elements in vector optimization with a variable ordering structure
- A unified approach to the existing three types of variational principles for vector valued functions
- Ekeland's \(\varepsilon\)-variational principle for set-valued mappings
- Variational methods in partially ordered spaces
- General Ekeland's variational principle for set-valued mappings.
- On the variational principle
- Ekeland variational principles involving set perturbations in vector equilibrium problems
- Ekeland's variational principle with weighted set order relations
- An Ekeland's variational principle for set-valued mappings with applications
- Variants of the Ekeland variational principle for approximate proper solutions of vector equilibrium problems
- Vector optimization. Set-valued and variational analysis.
- A nonlinear scalarization function and generalized quasi-vector equilibrium problems
- Nonconvex minimization problems
- Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
- A New Variant of Ekeland's Variational Principle for Set-Valued Maps
- Vectorial form of Ekeland variational principle with applications to vector equilibrium problems
- Characterizations of variable domination structures via nonlinear scalarization
This page was built for publication: Ekeland's variational principle for the set-valued map with variable ordering structures and applications