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Published **1971**
by Państwowe Wydawn. Naukowe in Warszawa .

Written in English

- Generalized spaces

**Edition Notes**

Bibiliography: p. [31]-32.

Other titles | Generalized ordered spaces. |

Statement | [by] D. J. Lutzer. |

Series | Dissertationes mathematicae = Rozprawy matematyczne -- 89, Rozprawy matematyczne -- 89. |

The Physical Object | |
---|---|

Pagination | 36 p. |

Number of Pages | 36 |

ID Numbers | |

Open Library | OL13568385M |

OCLC/WorldCa | 5164424 |

Purchase Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications, Volume - 1st Edition. Print Book & E-Book. ISBN , COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus. Harjani J, Sadarangani K: Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations. Nonlinear Analysis: Theory, Methods & Applications ,72(3–4)– / zbMATH MathSciNet CrossRef Google ScholarCited by: Finally, central results are provided for Sobolev spaces, including Poincaré and Sobolev–Poincaré inequalities in norm and modular forms. Primarily aimed at researchers and PhD students interested in Orlicz spaces or generalized Orlicz spaces, this book can be used as a basis for advanced graduate courses in analysis.

“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.

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