On generalized ordered spaces
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On generalized ordered spaces by D. J. Lutzer

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Published by Państwowe Wydawn. Naukowe in Warszawa .
Written in English


  • Generalized spaces

Book details:

Edition Notes

Bibiliography: p. [31]-32.

Other titlesGeneralized ordered spaces.
Statement[by] D. J. Lutzer.
SeriesDissertationes mathematicae = Rozprawy matematyczne -- 89, Rozprawy matematyczne -- 89.
The Physical Object
Pagination36 p.
Number of Pages36
ID Numbers
Open LibraryOL13568385M

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“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.

The book presents classical results, developments over the last 50 years of research, and recent results with proofs. Show less Existence Theory for Generalized Newtonian Fluids provides a rigorous mathematical treatment of the existence of weak solutions to generalized Navier-Stokes equations modeling Non-Newtonian fluid flows. A METRIZATION THEOREM FOR-GENERALIZED ORDERED SPACES. David J. Lutzer. This research report describes joint work with H. R. Bennett; details will appear in [BnL]. Most metrization theory for GO spaces (= gen~ralized. ordered spaces; cf. [L] for definitions and. termi~ology) is based on Bing's theorem [Bi] that a space is metrizable iff. The idea of mutual classification of spaces and mappings is one of the main research directions of point set topology. In a systematical way, this book discusses the basic theory of generalized metric spaces by using the mapping method, and summarizes the most important research achievements, particularly those from Chinese scholars, in the theory of spaces and mappings since the s. (). Generalized contractions in partially ordered metric spaces. Applicable Analysis: Vol. 87, No. 1, pp.