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On strongly E-convex sets and strongly E-convex cone sets | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 11, Issue 1, 2019, Pages 52-59 PDF (0 K) | ||
| Author | ||
| Saba Naser Majeed | ||
| Abstract | ||
| -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. | ||
| Keywords | ||
| convex sets; strongly E; convex cone; convex hull | ||
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