A systematization of convexity and quasiconvexity concepts for set-valued maps, defined byl-type andu-type preorder relations-Reference-Cited by-同舟云学术

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A systematization of convexity and quasiconvexity concepts for set-valued maps, defined byl-type andu-type preorder relations

Published:2018-03-28 Issue:7 Volume:67 Page:1077-1094
ISSN:0233-1934
Container-title:Optimization
language:en
Short-container-title:Optimization

Author:

Seto Kazuki¹,Kuroiwa Daishi²,Popovici Nicolae³

Affiliation:

1. Interdisciplinary Graduate School of Science and Engineering, Shimane University , Matsue, Japan.

2. Major in Interdisciplinary Science and Engineering, Shimane University , Matsue, Japan.

3. Faculty of Mathematics and Computer Science, Babeş-Bolyai University , Cluj-Napoca, Romania.

Funder

JSPS KAKENHI

CNCS-UEFISCDI

Publisher

Informa UK Limited

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

https://www.tandfonline.com/doi/pdf/10.1080/02331934.2018.1454920

Reference25 articles.

1. Vector Optimization

2. Theory of Vector Optimization

3. Set-valued Optimization

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1. Optimality Conditions for Approximate Solutions of Set Optimization Problems with the Minkowski Difference;Axioms;2023-10-23

2. Existence and connectedness of the l-minimal approximate solutions for set optimization problems: an application in generalized multiobjective robustness;The Journal of Analysis;2023-09-08

3. Global well-posedness of set-valued optimization with application to uncertain problems;Journal of Global Optimization;2022-07-11

4. New concepts of directional derivatives for set-valued maps and applications to set optimization;Optimization;2022-06-16

5. Well-posedness for set-valued equilibrium problems;Studia Universitatis Babes-Bolyai Matematica;2022-03-10

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