A generalization of interval-valued optimization problems and optimality conditions by using scalarization and subdifferentials
Author
Source
Issue
Vol. 48, Issue 2 (30 Apr. 2021), pp.1-11, 11 p.
Publisher
Kuwait University Academic Publication Council
Publication Date
2021-04-30
Country of Publication
Kuwait
No. of Pages
11
Main Subjects
Arts & Humanities (Multidisciplinary)
Abstract EN
In this work, interval-valued optimization problems are considered.
The ordering cone is used to generalize the interval-valued optimization problems on real topological vector spaces.
Some definitions and their properties are obtained for intervals, defined via an ordering cone.
Gerstewitz's function is used to derive scalarization for the interval-valued optimization problems.
Also, two subdifferentials for interval-valued functions are introduced by using subgradients.
Some necessary optimality conditions are obtained via subdifferentials and scalarization.
An example is given to demonstrate the results.
American Psychological Association (APA)
Karaman, Emrah. 2021. A generalization of interval-valued optimization problems and optimality conditions by using scalarization and subdifferentials. Kuwait Journal of Science،Vol. 48, no. 2, pp.1-11.
https://search.emarefa.net/detail/BIM-1500390
Modern Language Association (MLA)
Karaman, Emrah. A generalization of interval-valued optimization problems and optimality conditions by using scalarization and subdifferentials. Kuwait Journal of Science Vol. 48, no. 2 (Apr. 2021), pp.1-11.
https://search.emarefa.net/detail/BIM-1500390
American Medical Association (AMA)
Karaman, Emrah. A generalization of interval-valued optimization problems and optimality conditions by using scalarization and subdifferentials. Kuwait Journal of Science. 2021. Vol. 48, no. 2, pp.1-11.
https://search.emarefa.net/detail/BIM-1500390
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 9-10
Record ID
BIM-1500390