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On strongly E-convex sets and strongly E-convex cone sets
Other Title(s)
حول المجاميع المحدبة بقوة و مجاميع المخروط المحدبة بقوة من النوع E
Author
Source
al-Qadisiyah Journal for Computer Science and Mathematics
Issue
Vol. 11, Issue 1 (31 Mar. 2019), pp.52-59, 8 p.
Publisher
University of al-Qadisiyah College of computer Science and Information Technology
Publication Date
2019-03-31
Country of Publication
Iraq
No. of Pages
8
Main Subjects
Abstract EN
convex sets and -convex functions, which are considered as an important class of generalized convex sets and convex functions, have been introduced and studied by Youness [5] and other researchers.
This class has recently extended, by Youness, to strongly -convex sets and strongly -convex functions.
In these generalized classes, the definitions of the classical convex sets and convex functions are relaxed and introduced with respect to a mapping .
In this paper, new properties of strongly -convex sets are presented.
We define strongly -convex hull, strongly -convex cone, and strongly -convex cone hull and we proof some of their properties.
Some examples to illustrate the aforementioned concepts and to clarify the relationships between them are established
American Psychological Association (APA)
Majid, Siba Nasir. 2019. On strongly E-convex sets and strongly E-convex cone sets. al-Qadisiyah Journal for Computer Science and Mathematics،Vol. 11, no. 1, pp.52-59.
https://search.emarefa.net/detail/BIM-971631
Modern Language Association (MLA)
Majid, Siba Nasir. On strongly E-convex sets and strongly E-convex cone sets. al-Qadisiyah Journal for Computer Science and Mathematics Vol. 11, no. 1 (2019), pp.52-59.
https://search.emarefa.net/detail/BIM-971631
American Medical Association (AMA)
Majid, Siba Nasir. On strongly E-convex sets and strongly E-convex cone sets. al-Qadisiyah Journal for Computer Science and Mathematics. 2019. Vol. 11, no. 1, pp.52-59.
https://search.emarefa.net/detail/BIM-971631
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 58-59
Record ID
BIM-971631