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Vol.20 No.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.
Abstract
In this paper, we obtain a common fixed point theorem for multivalued mappings in a complete Menger <TEX>$\mathcal{L}$</TEX>-fuzzy metric space. <TEX>$\mathcal{L}$</TEX>-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].
Abstract
In this paper, we study lightlike hypersurfaces of an indefinite Sasakian manifold <TEX>$\bar{M}$</TEX>. First, we construct a type of lightlike hypersurface according to the form of the structure vector field of <TEX>$\bar{M}$</TEX>, named by ascreen lightlike hypersurface. Next, we characterize the geometry of such ascreen lightlike hypersurfaces.
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 <TEX>$F_1$</TEX>: <TEX>$$(1+2x)^{-a}(1+2z)^{-b}F_1\;\(c,\;a,\;b;\;2c+j;\;\frac{4x}{1+2x},\;\frac{4z}{1+2z}\)\;(j=0,\;{\pm}1,\;{\ldots},\;{\pm}5)$$</TEX> in terms of Exton's triple hypergeometric <TEX>$X_9$</TEX>. 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.
Abstract
In this paper, we introduce asymptotically quasi-<TEX>$f-g$</TEX>-nonexpansive mappings in convex normed vector spaces and consider approximating common fixed points of a sequence of asymptotically quasi-<TEX>$f-g$</TEX>-nonexpansive mappings in convex normed vector spaces.
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 <TEX>$r$</TEX>) 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 <TEX>${\lambda}$</TEX> estimations, the ZI-Rasch model produced estimates similar to those of the Rasch model.
Abstract
Let X be a space and <TEX>$2^X$</TEX>(C(X);K(X);<TEX>$C_K$</TEX>(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 <TEX>$x{\in}X$</TEX>. Then the following statements are equivalent: (1) X is connected im kleinen at <TEX>$x$</TEX>. (2) <TEX>$2^X$</TEX> is arcwise connected im kleinen at {<TEX>$x$</TEX>}. (3) K(X) is arcwise connected im kleinen at {<TEX>$x$</TEX>}. (4) <TEX>$C_K$</TEX>(X) is arcwise connected im kleinen at {<TEX>$x$</TEX>}. (5) C(X) is arcwise connected im kleinen at {<TEX>$x$</TEX>}.