Space of mappings as sequence spaces

Common fixed point theorems of contractive mappings sequence in partially ordered G-metric spaces

We consider the concept of Ω-distance on a complete partially ordered G-metric space and prove some common fixed point theorems.

Regular Mappings of Sequence Spaces over Finite Fields

Let K be a finite field and let X be the set of doubly infinite sequences over K, that is, X = K where Z denotes the set of integers. In this paper I shall study some problems about mappings from X to itself which are related to earlier results in topological dynamics and cryptography. The second section includes a characterization of some algebra homomorphisms in terms of ultrafilters. Element...

entire sequence spaces defined on locally convex hausdorff topological space

in this paper we introduce entire sequence spaces defined by a sequence of modulus functions . we study some topological properties of these spaces and prove some inclusion relations.

Space of spaces as a metric space

In spacetime physics, we frequently need to consider a set of all spaces (‘universes’) as a whole. In particular, the concept of ‘closeness’ between spaces is essential. However there has been no established mathematical theory so far which deals with a space of spaces in a suitable manner for spacetime physics. Based on the scheme of the spectral representation of geometry, we construct a spac...

A New Class of Banach Sequence Spaces