Strongly (E,F)-convexity with applications to optimization problems
Other Title(s)
التحدب بقوة من النوع و تطبيقاته على مشاكل الأمثلية (E,F)
Joint Authors
Inad, Ammar Abd al-Kazim
Majid, Siba Nasir
Source
al-Qadisiyah Journal for Computer Science and Mathematics
Issue
Vol. 11, Issue 3 (30 Sep. 2019), pp.66-75, 10 p.
Publisher
University of al-Qadisiyah College of computer Science and Information Technology
Publication Date
2019-09-30
Country of Publication
Iraq
No. of Pages
10
Main Subjects
Topics
Abstract EN
In this paper, a new class of nonconvex sets and functions called strongly (£,/•')-convex sets and strongly (£, F)-convex functions are introduced.
This class is considered as a natural extension of strongly E-convex sets and functions introduced in the literature.
Some basic and differentiability properties related to strongly (£,E)-convex functions are discussed.
As an application to optimization problems, some optimality properties of constrained optimization problems are proved.
In these optimization problems, either the objective function or the inequality constraints functions are strongly (E, F)-convex.
American Psychological Association (APA)
Inad, Ammar Abd al-Kazim& Majid, Siba Nasir. 2019. Strongly (E,F)-convexity with applications to optimization problems. al-Qadisiyah Journal for Computer Science and Mathematics،Vol. 11, no. 3, pp.66-75.
https://search.emarefa.net/detail/BIM-900702
Modern Language Association (MLA)
Inad, Ammar Abd al-Kazim& Majid, Siba Nasir. Strongly (E,F)-convexity with applications to optimization problems. al-Qadisiyah Journal for Computer Science and Mathematics Vol. 11, no. 3 (2019), pp.66-75.
https://search.emarefa.net/detail/BIM-900702
American Medical Association (AMA)
Inad, Ammar Abd al-Kazim& Majid, Siba Nasir. Strongly (E,F)-convexity with applications to optimization problems. al-Qadisiyah Journal for Computer Science and Mathematics. 2019. Vol. 11, no. 3, pp.66-75.
https://search.emarefa.net/detail/BIM-900702
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 73-74
Record ID
BIM-900702