Lagrange multiplier rules for weak approximate Pareto solutions to constrained vector optimization problems with variable ordering structures
From MaRDI portal
Publication:5090300
DOI10.1080/02331934.2020.1857753zbMath1495.90174OpenAlexW3110974367MaRDI QIDQ5090300
Publication date: 18 July 2022
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2020.1857753
Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Programming in abstract spaces (90C48)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Necessary nondomination conditions in set and vector optimization with variable ordering structures
- Numerical procedures in multiobjective optimization with variable ordering structures
- Characterization of approximate solutions of vector optimization problems with a variable order structure
- Lagrange multiplier rules for weak approximate Pareto solutions of constrained vector optimization problems in Hilbert spaces
- Properly optimal elements in vector optimization with variable ordering structures
- Concepts for approximate solutions of vector optimization problems with variable order structures
- Optimal elements in vector optimization with a variable ordering structure
- A generalized scalarization method in set optimization with respect to variable domination structures
- Hartley properly and super nondominated solutions in vector optimization with a variable ordering structure
- Relative Pareto minimizers for multiobjective problems: Existence and optimality conditions
- On approximate efficiency in multiobjective programming
- Variable preference modeling with ideal-symmetric convex cones
- Multiple-criteria decision making. Concepts, techniques, and extensions. With the assistance of Yoon-Ro Lee and Antonie Stam
- Fuzzy principles and characterization of trustworthiness
- On several concepts for \(\varepsilon\)-efficiency
- Vector optimization problems with generalized functional constraints in variable ordering structure setting
- Existence and boundedness of second-order Karush-Kuhn-Tucker multipliers for set-valued optimization with variable ordering structures
- On set-valued optimization problems with variable ordering structure
- Fixed points and variational principles with applications to capability theory of wellbeing via variational rationality
- Cone characterizations of approximate solutions in real vector optimization
- Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
- A Fuzzy Necessary Optimality Condition for Non-Lipschitz Optimization in Asplund Spaces
- Characterization of properly optimal elements with variable ordering structures
- Coderivative necessary optimality conditions for sharp and robust efficiencies in vector optimization with variable ordering structure
- Optimality conditions for vector optimization problems with variable ordering structures
- A Unified Separation Theorem for Closed Sets in a Banach Space and Optimality Conditions for Vector Optimization
- On the local surjection property
- An Extended Extremal Principle with Applications to Multiobjective Optimization
- Hamiltonian Necessary Conditions for a Multiobjective Optimal Control Problem with Endpoint Constraints
- The Lagrange Multiplier Rule in Set-Valued Optimization
- Metric regularity and subdifferential calculus
- Set optimization by means of variable order relations
- Necessary Suboptimality and Optimality Conditions via Variational Principles
- Variational Analysis of Regular Mappings
- Variable Ordering Structures in Vector Optimization
- The Lagrange Multiplier Rule for Multifunctions in Banach Spaces
- A Unified Approach and Optimality Conditions for Approximate Solutions of Vector Optimization Problems
