Efficiencies and Pareto efficiencies of set-valued mappings on ordered spaces

DOI10.1080/02331934.2019.1662419zbMath1440.49021OpenAlexW2972786735MaRDI QIDQ5110312

Li, Jinlu

Publication date: 18 May 2020

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2019.1662419

zbMATH Keywords

efficiencyPareto efficiencypreordered setupward power preorderdownward power preorderpower preorder

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Ordered topological linear spaces, vector lattices (46A40)

Related Items (2)

Applications of Fell Topology to Closed Set-Valued Optimizations in Partially Ordered First Countable Topological Vector Spaces ⋮ Set-valued equilibrium problems based on the concept of null set with applications

Cites Work

• Inductive properties of fixed point sets of mappings on posets and on partially ordered topological spaces
• New order relations in set optimization
• A generalization of Tychonoff's fixed point theorem
• Über die Skalarisierung und Dualisierung von Vektoroptimierungsproblemen. (Scalarization and dualization of vector optimization problems)
• On the existence of efficient points in locally convex spaces
• Connectedness of efficient solution sets for set-valued maps in normed spaces
• On the generalized vector variational inequality problem
• The existence of contingent epiderivatives for set-valued maps
• A new minimal point theorem in product spaces
• A new maximal point theorem
• On the vectorial Ekeland's variational principle and minimal points in product spaces
• Vector Optimization Problems and Their Solution Concepts
• Countably orderable sets and their applications in optimization
• A Characterization of Approximate Solutions of Multiobjective Stochastic Optimal Control Problems
• Order-clustered fixed point theorems and their applications to Pareto equilibrium problems
• Berge-type theorems for vector optimization problems
• A note on a class of cones ensuring the existence of efficient points in bounded complete sets¹
• GENERALIZED CONTINGENT EPIDERIVATIVES IN SET-VALUED OPTIMIZATION: OPTIMALITY CONDITIONS
• Set-valued Optimization
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