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A generalization of a fixed point theorem due to Hitzler and Seda in dislocated quasi-metric spaces

Research Authors
FM Zeyada, GH Hassan, MA Ahmed
Research Date
Research Department
Research Publisher
KING FAHD UNIVERSITY OF PETROLEUM & MINERALS
Research Vol
31
Research Year
2006

Fuzzy γ-open sets and fuzzy γ-continuity in fuzzifying topology

Research Abstract

The concepts of fuzzifying γ-open sets and fuzzifying γ-closed sets are studied and some interesting results (Theorems 5.4 and 5.5) are obtained. Also, the concept of fuzzifying γ-continuity are introduced and some important characterizations (Theorem 6.1) are obtained. Furthermore, some compositions of fuzzifying γ-continuity and fuzzifying continuity are presented (Theorem 6.2). @2002, International Society for Mathematical Sciences

Research Authors
T. Noiri and O. R. Sayed
Research Department
Research Journal
Scientiae Mathematicae Japonicae
Research Member
Research Pages
255-263
Research Vol
55 (2)
Research Website
https://www.jams.jp/notice/scmjol/
Research Year
2002

Pre- Continuity and D (c, P)-continuity in fuzzifying topology

Research Abstract

The concepts of fuzzy pre-continuity and fuzzy cpre-continuity are introduced and studied in fuzzifying topology essentially in order to give decompositions of fuzzy continuity.

@ 2001 Elsevier Science B.V.

Research Authors
K. M. Abd El-Hakeim, F. M. Zeyada and O. R. Sayed
Research Department
Research Journal
Fuzzy Sets and Systems
Research Member
Research Pages
459- 471
Research Vol
119
Research Website
@ 2001 Elsevier Science B.V.
Research Year
2001

On separation axioms in fuzzifying topology

Research Abstract

In the present paper we introduce R0- and R1-separation axioms in fuzzifying topology and study their relations with T1- and T2-separation axioms, respectively. Furthermore, we introduce and study semi-T0-, semi-R0-, semi-T1-, semi-R1-, semi-T2 (semi-Hausdorff)-, semi-T3 (semi-regularity)- and semi-T4 (semi-normality)-separation axioms in fuzzifying topology and
give some of their characterizations as well as the relations of these axioms and other separation axioms in fuzzifying topology introduced by Shen, Fuzzy Sets and Systems 57 (1993) 111–123
.

@ 2001 Elsevier Science B.V.

Research Authors
F. H. Khedr, F. M. Zeyada and O. R. Sayed
Research Department
Research Journal
Fuzzy Sets and Systems
Research Member
Research Pages
439- 458
Research Vol
119
Research Website
www.elsevier.com/locate/fss
Research Year
2001

Two types of fuzzy semi-continuity and four types of fuzzy irresoluteness in fuzzifying topological spaces

Research Abstract

The concept of semi-open sets is extended in fuzzifying topology in two various types one of them is stronger than the other, but the converse may not be true. These concepts and two types of semi-continuity induced by them are introduced and studied in fuzzifying topology. Furthermore, four types of irresolute functions are considered between fuzzifying topological spaces.

Research Authors
K. M. Abd El-Hakeim, F. M. Zeyada and O. R. Sayed
Research Department
Research Journal
Journal of The Egyptian Mathematical Society (J. Egypt. Math. Soc.)
Research Member
Research Pages
77-93
Research Vol
8 (1)
Research Year
2000

α-Continuity and cα-continuity in fuzzifying topology

Research Abstract

The concepts of α-continuity and cα-continuity are considered and studied in fuzzifying topology and by making use of these concepts, some decompositions of fuzzy continuity are introduced. It is proved that the family of all α-sets in
fuzzifying topology may not be a fuzzifying topology.

@ 2000 Elsevier Science B.V.

Research Authors
F. H. Khedr, F. M. Zeyada and O. R. Sayed
Research Journal
Fuzzy Sets and Systems
Research Member
Research Pages
325-337
Research Vol
116
Research Website
www.elsevier.com/locate/fss
Research Year
2000

β-Continuity and D (c, β)-continuity in fuzzifying topology

Research Abstract

The concepts of β-continuity and D(c, β)-continuity are considered and studied fuzzifying continuity in fuzzifying topology and by making use of these concepts, some decompositions of fuzzy continuity are introduced.

@1999, International Fuzzy Mathematics Institute, Los Angeles.

Research Authors
K. M. Abd El-Hakeim, F. M. Zeyada and O. R. Sayed
Research Department
Research Journal
The Journal of Fuzzy Mathematics
Research Member
Research Pages
547-558
Research Vol
7
Research Website
@1999, International Fuzzy Mathematics Institute, Los Angeles.
Research Year
1999

Fuzzy preuniform structures based on way below relation

Research Abstract

In this paper, a preuniform structure based on way below relation (or L-fuzzifying preuniform structure) was defined and their properties were studied. Also, the concept of interior and closure operators in the L-fuzzifying setting were established. Furthermore, the relation between L-fuzzifying preuniform and L-fuzzifying topological spaces were explained. Finally, the continuity of L-fuzzifying preuniform spaces was studied.

Research Authors
O. R. Sayed, M. A. Abd-Allah and O. G. Hammad
Research Date
Research Department
Research File
Research Journal
Assiut Univ. J. of Mathematics and Computer Science
Research Member
Research Pages
39-47
Research Vol
49
Research Year
2020

Fuzzy semi-continuity and fuzzy csemi-continuity in fuzzifying topolog

Research Abstract

The concepts of fuzzy semi-continuity and fuzzy csemi- continuity are introduced and studied essentially in order to decompose fuzzy continuity in fuzzifying topology. Furthermore, the concept of csemi-neighborhood system is presented and by making use of it a fuzzifying topology is introduced and so Comparisions of motivated types of continuity are pointed out.

Research Authors
F. H. Khedr, F. M. Zeyada and O. R. Sayed
Research Date
Research Department
Research Journal
The Journal of Fuzzy Mathematics
Research Member
Research Pages
105-124
Research Publisher
@1999 International Fuzzy Mathematics Institute Los Angeles
Research Vol
7(1)
Research Year
1999

Taxonomic implications of seed morphology and storage proteins in three tribes of the subfamily Papilionoideae (Fabaceae) in Egypt

Research Abstract

Papilionoideae is the most species-rich subfamily of Fabaceae. Within Papilionoideae, the “core genistoids” comprise many genera of the tribes Podalyrieae, Thermopsideae, Euchresteae, Crotalarieae, Genisteae, and part of Sophoreae. Seed macro- and micro-morphological characters and seed storage proteins of 12 Egyptian species belonging to three tribes of the core genistoides (Sophoreae, Crotalarieae, and Genisteae) were examined using light microscopy, scanning electron microscopy, and SDS-PAGE electrophoresis. Seed shape, size, surface topography, hilum characteristics, epidermal cell patterns, periclinal cell walls, and anticlinal cell boundaries are described here. Seed protein profiles show variable banding patterns with molecular weights ranging from approximately 5 to 270 kDa. Multivariate analyses based on seed morphology and storage proteins elucidate the phenetic relationships among the investigated species at both the tribal and intrageneric levels. 
The taxonomic and phylogenetic implications of multivariate analyses are compared with previous and current systematic treatments of the genera within the three tribes. Our results confirm the high taxonomic importance of seed morphology in distinguishing among the investigated species. A key to the species using seed macro- and micro-morphological characters is presented.

Research Authors
MOSTAFA A. ABOULELA, ZEINAB A. EL-KAREMY, HASNAA A. HOSNI, SARA M. SALEH & AHMED M. FARIED
Research Date
Research Pages
075-095
Research Vol
484
Research Year
2021
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