Using such type of notions Husain and Latif [14] extended their result to general Banach space setting.
In order to introduce both type of notions in our new context, let us recall that if ({X_{i}}_{i=1}^{n}) is a family of nonempty sets, (X={ prod_{i=1}^{n}} X_{i}) and F is a mapping from X into X, then the coordinate functions of F are the functions (F_{i}:Xrightarrow X_{i}), (i=1,ldots,n), such that F x)=bigl(F_{1}(x),ldots,F_{n}(x bigr) for all (xin X).
One may refer to [5, 6] for similar types of notion of best proximity points.
A one-one transformation of a class onto itself, also called a permutation, induces permutations of all the types in the hierarchy of types of "notions" determined by the class.
This type of security notion is referred to as MR-security (message recovery) [41].
But Facebook has a big problem with the volume and weak typing of its notion of friendship.
Yet for anyone who's sat in the meticulously clean lounge of a certain type of female, the notion of the domestic setting being a sacred vessel of womanhood isn't hard to wrap your mind around.
For example: if your class is about Medieval women, the main ideas might be about formation of self, types of writings, notions of autonomy and gender, and so on.
We study part of the discrete spectrum of L2 X) for X of Hermitian type, a notion we define in analogy with the group case.
This type of analysis leaves the notion of similarity unconstrained and mysterious.
