On generalized ordered spaces
Share

# On generalized ordered spaces by D. J. Lutzer

• ·

Written in English

### Subjects:

• Generalized spaces

## Book details:

Edition Notes

Bibiliography: p. [31]-32.

The Physical Object ID Numbers Other titles Generalized ordered spaces. Statement [by] D. J. Lutzer. Series Dissertationes mathematicae = Rozprawy matematyczne -- 89, Rozprawy matematyczne -- 89. Pagination 36 p. Number of Pages 36 Open Library OL13568385M OCLC/WorldCa 5164424

“This book is a contribution to the general theory of modulars defined on arbitrary sets. The content of the book is well organized, and the exposition is as self-contained as possible. this is an interesting book on function spaces theory. It contains a wealth of materials concerning modular spaces and some of their applications.   In particular, we show that unexpectedly, some very recent fixed point theorems for generalized contractions on ordered metric spaces obtained by Harjani and Sadarangani [J. Harjani, K. Sadarangani, Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations, Nonlinear Anal. 72 () Sedghi et al. (Mat. Vesn. 64(3), ) introduced the notion of a S-metric as a generalized metric in 3-tuples $$S:X^{3} \rightarrow[0,\infty)$$, where X is a nonempty set. The aim of this paper is to introduce the concept of an n-tuple metric $$A: X^{n} \rightarrow[0,\infty)$$ and to study its basic topological properties. We also prove some generalized coupled common fixed point. By that statement we mean that a generalized ordered space Xwith any one of the properties in () will have any one of the properties in () if and only if X is perfect. The purpose of this paper is to introduce and study a topological property that is the bridge, for a generalized ordered space X, between the property \Xhas a point-countable.