In the present paper, a simply* compact spaces was introduced it defined over simply*- open set previous knowledge and we study the relation between the simply* separation axioms and the compactness, in addition to introduce a new types of functions known as 𝛼𝑆 𝑀∗ _irresolte , 𝛼𝑆 𝑀∗ __𝑐𝑜𝑛𝑡𝑖𝑛𝑢𝑜𝑢𝑠 and 𝑅 𝑆 𝑀∗ _ continuous, which are defined between two topological spaces.

The Antimicrobial activity of Probiotic Bifidobacterium sp and Prebiotics : chicory roots ( Hot water extract ) and Inulin ( 10 % ) against some Pathogenic bacteria (Esherichia coli , Proteus mirabilis , Klebsiella sp , Pseudomonas aeruginosa , Serratia marcescens was studied . The combination of Probiotic and Prebiotics (Synbiotic) (Bifidobacterium sp + chicory ) and (Bifidobacterium sp + Inulin ) also tested for their antimicrobial activity against Pathogenic bacteria . Results showed that Bifidobacterium sp had good antimicrobial activity against all the Pathogenic bacteria tested , followed by chicory and inulin . The synergistic inhibitory effect of Synbiotic (Bifidobacterium sp + chicory ) and ( Bifidobacterium sp + inuli

In this paper, we introduce and study new types of soft open sets and soft closed
sets in soft bitopological spaces (X,~ ,~ ,E) 1 2   , namely, (1,2)*-maximal soft open
sets, (1,2)*-maximal soft (1,2)*-pre-open sets, semi (1,2)*-maximal soft (1,2)*-preopen
sets, (1,2)*-maximal soft closed sets, (1,2)*-maximal soft (1,2)*-pre-closed
sets, (1,2)*-minimal soft open sets, (1,2)*-minimal soft (1,2)*-pre-open sets, (1,2)*-
minimal soft closed sets, (1,2)*-minimal soft (1,2)*-pre-closed sets, and semi (1,2)*-
minimal soft (1,2)*-pre-closed sets. Also, properties and the relation among these
concepts have been studied.

     In this paper we introduce a new class of sets called -generalized b- closed (briefly gb closed) sets. We study some of its basic properties. This class of sets is strictly placed between the class of gp- closed sets and the class of gsp- closed sets. Further the notion of b- space is introduced and studied.

2000 Mathematics Subject Classification: 54A05

Bis-anthraquinones with a unique molecular backbone, (+)-2,2’-epicytoskyrin A (epi) and (+)-1,1′-bislunatin (bis), was produced by endophytic fungi Diaporthe sp GNBP-10 associated with Gambir plant (Uncaria gambier). Epi and bis possess robust antimicrobial activity toward various pathogens. This study focus on knowing the optimum condition of epi and bis production from Diaporthe sp GNBP-10. A series of culture media with various nutrient compositions was investigated in epi and bis production. The content of epi and bis was determined by measuring the area under the curve from TLC-densitometric (scanner) experiment. The linear regression analysis was then applied to obtain the results. The optimi

The purpose of this paper is to study a new types of compactness in the dual bitopological spaces. We shall introduce the concepts of L-pre- compactness and L-semi-P- compactness .

Utilization of bacterial activity for decolorization of coloured products is one the most promising industrial strategy, as an eco-sustainable and cost-competitive alter-native to physicochemical methods. Laccase production from Bacillus sp. was stud-ied for its decolorization influences on different dyes (Indian ink, Brilliant green, Bromothymol blue, Crystal violet, Safranin, Bromophenol blue, Methelen blue, Giemsa stain, Nigrosin, Toluidin blue, Neutral red, Phenol red, Hanna, Blood, Ben-gal rose B, Bromkresol green, 4-Bromoaniline, Aniline blue, 2,6-Dichlorophenol in-vophenol, Curcumin, Acridine orange, Indigo carmine, Xylene cynol FF,10G, Aliza-rine yellow GG and Kongorose). After 5 days of incubation of the spore-bound lac-case wit

In this paper, we will show that the Modified SP iteration can be used to approximate fixed point of contraction mappings under certain condition. Also, we show that this iteration method is faster than Mann, Ishikawa, Noor, SP, CR, Karahan iteration methods. Furthermore, by using the same condition, we shown that the Picard S- iteration method converges faster than Modified SP iteration and hence also faster than all Mann, Ishikawa, Noor, SP, CR, Karahan iteration methods. Finally, a data dependence result is proven for fixed point of contraction mappings with the help of the Modified SP iteration process.

The goal of this article is to construct fibrewise w-compact (resp. locally w-compact) spaces. Some related results and properties of these concepts will be investigated. Furthermore, we investigate various relationships between these concepts and three classes of fibrewise w-separation axioms.

In this paper by using δ-semi.open sets we introduced the concept of weakly δ-semi.normal and δ-semi.normal spaces . Many properties and results were investigated and studied. Also we present the notion of δ- semi.compact spaces and we were able to compare with it δ-semi.regular spaces