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Thursday, July 23, 2020 | History

3 edition of On generalized ordered spaces found in the catalog.

On generalized ordered spaces

D. J. Lutzer

# On generalized ordered spaces

## by D. J. Lutzer

Written in English

Subjects:
• Generalized spaces

• 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

In mathematics, the concept of a generalised metric is a generalisation of that of a metric, in which the distance is not a real number but taken from an arbitrary ordered field.. In general, when we define metric space the distance function is taken to be a real-valued real numbers form an ordered field which is Archimedean and order complete. Clearly, generalized ordered spaces need not be orderable. For example (0,1) U -{2} is not an orderable subspace of R. Let X be a generalized ordered space. If {A!,BT} X is a pair of non empty clopen, i.e., open and closed, subspaces of X with AT.

Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications, Volume (North-Holland Mathematics Studies) by Dvalishvili, Badri and a great selection of related books, art and collectibles available now at N.V. Luong and N.X. Thuan, Coupled fixed points in partially ordered metric spaces and application, Nonlinear Anal., 74(), H. K. Nashine, H. Aydi, Generalized altering distances and common fixed points in ordered metric spaces, International Journal of Mathematics and Mathematical Sciences, Volume , Article ID , 23 pages.

() Metric subregularity for composite-convex generalized equations in Banach spaces. Nonlinear Analysis: Theory, Methods & Applications , () Strong KKT conditions and weak sharp solutions in convex-composite optimization.   In this paper, we introduce the concept of a quasi-metric-like space, and by defining the w-compatibility of two mappings, we obtain multidimensional coincidence point and multidimensional fixed point theorems for generalized ψ-quasi-contractions in quasi-metric-like spaces. Our results extend the fixed point theorems in Vetro and Radenović (Appl. Math. Comput. , ) and.

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### On generalized ordered spaces by D. J. Lutzer Download PDF EPUB FB2

Buy Metrizability in generalized ordered spaces (Mathematical Centre tracts ; 53) on FREE SHIPPING on qualified orders Metrizability in generalized ordered spaces (Mathematical Centre tracts ; 53): Faber, M.

J: : BooksCited by: Metrizability in generalized ordered spaces. Amsterdam: Mathematisch Centrum, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: M J Faber. Purchase Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications, Volume - 1st Edition.

Print Book & E-Book. ISBNCOVID 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. 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. Generalized Rough Sets: /ch This chapter concerns construction of a new rough set structure for an ideal ordered topological spaces and ordered.

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. A generalized ordered space (= GO-space) is a subspace of a LOTS.

The standard reference for such spaces is [L] and much of the notation here will follow the notation in [L]. () Definition. If (y,~) is a LOTS with topology. A, select three disjoint, possibly empty, subsets A, B, and C.

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): A space X is weakly perfect if each closed subset of X contains a dense subset that is a GÎ´-subset of X.

This property was introduced by KocÌ inac and later studied by Heath. We provide three mechanisms for constructing ZFC examples of spaces that are weakly perfect but not perfect.

"The beta-space property in generalized ordered and monotonically normal spaces" (with H. Bennett), Topology and its Applications, (), pdf version "The arithmetic of algebraic numbers: an elementary approach" (with C-K Li).

Fixed Point Theory and Applications Some fixed point results in ordered Gp-metric spaces Ljubomir C´ iri c´ 1 Saud M Alsulami 3 Vahid Parvaneh 0 Jamal Rezaei Roshan 4 0 Young Researchers and Elite Club, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran 1 Faculty of Mechanical Engineering, University of Belgrade, Kraljice Mar Belgrade, Serbia 2 x, y, z}), where p is any.

In mathematics, generalized functions are objects extending the notion of is more than one recognized theory, for example the theory of lized functions are especially useful in making discontinuous functions more like smooth functions, and describing discrete physical phenomena such as point are applied extensively, especially in physics and.Luong and Thuan slightly extended the concept of compatible mappings into the context of partially ordered metric spaces, namely, -compatible mappings and proved some coupled coincidence point theorems for such mappings in partially ordered generalized metric spaces.

The concept of -compatible mappings is stated as follows.CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): In this paper, we study the roles played by four special types of bases (weakly uniform bases, ω-in-ω bases, open-in-finite bases, and sharp bases) in the classes of linearly ordered and generalized ordered spaces.

For example, we show that a generalized ordered space has a weakly uniform base if and only if it is.