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The Pure and Applied Mathematics
Journal Basic Information
pISSN :
1226-0657
eISSN :
2287-6081
Journal DOI :
10.7468/jksmeb
Frequency :
Others
Publisher:
Korea Society of Mathematical Education
Editor in Chief :
Moon-Ja Jeong
Volume & Issues
Volume 20, Issue 4 - Nov 2013
Volume 20, Issue 3 - Aug 2013
Volume 20, Issue 2 - May 2013
Volume 20, Issue 1 - Feb 2013
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1
FILTERS OF BE-ALGEBRAS BASED ON FUZZY SET THEORY
Jun, Young Bae ; Ahn, Sun Shin ; Lee, Kyoung Ja ;
The Pure and Applied Mathematics, volume 20, issue 1, 2013, Pages 1~10
DOI : 10.7468/jksmeb.2013.20.1.1
Abstract
The fuzzification of filters in BE-algebras is discussed. Characterizations of a fuzzy filter of BE-algebras are given. An answer to the following question is provided.
2
COMMON FIXED POINT THEOREM FOR MULTIMAPS ON MENGER L-FUZZY METRIC SPACE
Deshpande, Bhavana ; Chouhan, Suresh ;
The Pure and Applied Mathematics, volume 20, issue 1, 2013, Pages 11~23
DOI : 10.7468/jksmeb.2013.20.1.11
Abstract
In this paper, we obtain a common fixed point theorem for multivalued mappings in a complete Menger
-fuzzy metric space.
-fuzzy metric space is a generalization of fuzzy metric spaces and intuitionistic fuzzy metric spaces. We extend and generalize the results of Kubiaczyk and Sharma [24], Sharma, Kutukcu and Rathore [34].
3
ASCREEN LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD
Jin, Dae Ho ;
The Pure and Applied Mathematics, volume 20, issue 1, 2013, Pages 25~35
DOI : 10.7468/jksmeb.2013.20.1.25
Abstract
In this paper, we study lightlike hypersurfaces of an indefinite Sasakian manifold
. First, we construct a type of lightlike hypersurface according to the form of the structure vector field of
, named by ascreen lightlike hypersurface. Next, we characterize the geometry of such ascreen lightlike hypersurfaces.
4
APPELL'S FUNCTION F
_{1}
AND EXTON'S TRIPLE HYPERGEOMETRIC FUNCTION X
_{9}
Choi, Junesang ; Rathie, Arjun K. ;
The Pure and Applied Mathematics, volume 20, issue 1, 2013, Pages 37~50
DOI : 10.7468/jksmeb.2013.20.1.37
Abstract
In the theory of hypergeometric functions of one or several variables, a remarkable amount of mathematicians's concern has been given to develop their transformation formulas and summation identities. Here we aim at presenting explicit expressions (in a single form) of the following weighted Appell's function
:
in terms of Exton's triple hypergeometric
. The results are derived with the help of generalizations of Kummer's second theorem very recently provided by Kim et al. A large number of very interesting special cases including Exton's result are also given.
5
APPROXIMATING COMMON FIXED POINTS OF A SEQUENCE OF ASYMPTOTICALLY QUASI-f-g-NONEXPANSIVE MAPPINGS IN CONVEX NORMED VECTOR SPACES
Lee, Byung-Soo ;
The Pure and Applied Mathematics, volume 20, issue 1, 2013, Pages 51~57
DOI : 10.7468/jksmeb.2013.20.1.51
Abstract
In this paper, we introduce asymptotically quasi-
-nonexpansive mappings in convex normed vector spaces and consider approximating common fixed points of a sequence of asymptotically quasi-
-nonexpansive mappings in convex normed vector spaces.
6
THE DEVELOPMENT OF A ZERO-INFLATED RASCH MODEL
Kim, Sungyeun ; Lee, Guemin ;
The Pure and Applied Mathematics, volume 20, issue 1, 2013, Pages 59~70
DOI : 10.7468/jksmeb.2013.20.1.59
Abstract
The purpose of this study was to develop a zero-inflated Rasch (ZI-Rasch) model, a combination of the Rasch model and the ZIP model. The ZI-Rasch model was considered in this study as an appropriate alternative to the Rasch model for zero-inflated data. To investigate the relative appropriateness of the ZI-Rasch model, several analyses were conducted using PROC NLMIXED procedures in SAS under various simulation conditions. Sets of criteria for model evaluations (-2LL, AIC, AICC, and BIC) and parameter estimations (RMSE, and
) from the ZI-Rasch model were compared with those from the Rasch model. In the data-model fit indices, regardless of the simulation conditions, the ZI-Rasch model produced better fit statistics than did the Rasch model, even when the response data were generated from the Rasch model. In terms of item parameter
estimations, the ZI-Rasch model produced estimates similar to those of the Rasch model.
7
ON ARCWISE CONNECTEDNESS IM KLEINEN IN HYPERSPACES
Baik, Bong Shin ; Rhee, Choon Jai ;
The Pure and Applied Mathematics, volume 20, issue 1, 2013, Pages 71~78
DOI : 10.7468/jksmeb.2013.20.1.71
Abstract
Let X be a space and
(C(X);K(X);
(X)) denote the hyperspace of nonempty closed subsets(connected closed subsets, compact subsets, subcontinua) of X with the Vietoris topology. We investigate the relationships between the space X and its hyperspaces concerning the properties of connectedness im kleinen. We obtained the following : Let X be a locally compact Hausdorff space. Let
. Then the following statements are equivalent: (1) X is connected im kleinen at
. (2)
is arcwise connected im kleinen at {
}. (3) K(X) is arcwise connected im kleinen at {
}. (4)
(X) is arcwise connected im kleinen at {
}. (5) C(X) is arcwise connected im kleinen at {
}.