Fixed point of set-valued mappings

Hadeel hussein Luaibi

doi:10.1080/09720502.2019.1706849

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Publication Date

Sun Nov 17 2019

Journal Name

Journal Of Interdisciplinary Mathematics

Volume

22

Issue Number

8

DOI

10.1080/09720502.2019.1706849

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Fixed point of set-valued mappings

Generalized metric

Complete space

Setvalued

Partly order

Hadeel hussein Luaibi

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Publication Date

Tue Jan 01 2008

Journal Name

Al-mustansiriyah Journal Of Science

Weakly (resp., Closure, Strongly) Perfect Mappings

weakly perfect mappings

closure perfect mappings

strongly perfect mappings.

Y. Y.

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In this paper the concepts of weakly (resp., closure, strongly) Perfect Mappings are defined and the important relationships are studied: (a) Comparison between deferent forms of perfect mappings. (b) Relationship between compositions of deferent forms of perfect mappings. (c) Investigate relationships between deferent forms of perfect mappings and their graphs mappings.

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Publication Date

Tue May 07 2024

Journal Name

Aip Conference Proceedings

Filter bases and nano perfect mappings

Filter base

directed-toward a set

nano-closure-converges

nano-closure-directed-toward

almost-nanoconverges

almost-nano-cluster-point

quasi-nano-Hausdorff-closed

nano-compact mappings

nano-rigid a set

nanoperfect- mappings.

Estabraq A.

Y. Y.

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Abstract. In this work, some new concepts were introduced and the relationship between them was studied. These concepts are filter directed-toward, nano-closure-directed-toward and nano-closure-converge to point, and some theories and results about these concepts were presented. A definition almost-nano-converges for set, almost-nano-cluster-point, and definition of quasi-nano-Hausdorff-closed and was also called nano-Hausdorff-closed relative, were also presented several theories related to these definitions were presented and the relationship between them was studied . We also provided other generalizations, including nano closure continuous mappings and it was also called as nano-weaklycontinuous- mappings, as well as providing a definit

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Publication Date

Mon Jan 01 2001

Journal Name

University Of Jordan

A Study of Some Generalizations of Proper Mappings

Y. Y.

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Publication Date

Wed Feb 22 2023

Journal Name

Iraqi Journal Of Science

More on the Minimal Set of Periods

mainfolds

transveral map

Lefschetz number

Lefschetz number for periodic points

Afraa

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Let M be a n-dimensional manifold. A C1- map f : M  M is called transversal if for all m N the graph of fm intersect transversally the diagonal of MM at each point (x,x) such that x is fixed point of fm. We study the minimal set of periods of f(M per (f)), where M has the same homology of the complex projective space and the real projective space. For maps of degree one we study the more general case of (M per (f)) for the class of continuous self-maps, where M has the same homology of the n-dimensional sphere.

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Publication Date

Wed Mar 01 2023

Journal Name

Baghdad Science Journal

Topological Structures on Vertex Set of Digraphs

Basis for a topology

Closure

Digraph

Interior

Subbasis for a topology

K.

P.

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Relation on a set is a simple mathematical model to which many real-life data can be connected. A binary relation on a set can always be represented by a digraph. Topology on a set can be generated by binary relations on the set . In this direction, the study will consider different classical categories of topological spaces whose topology is defined by the binary relations adjacency and reachability on the vertex set of a directed graph. This paper analyses some properties of these topologies and studies the properties of closure and interior of the vertex set of subgraphs of a digraph. Further, some applications of topology generated by digraphs in the study of biological systems are cited.

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Publication Date

Tue Sep 01 2020

Journal Name

Baghdad Science Journal

On The Normality Set of Linear Operators

Invariant

Quasi-similar operator

Normality set

Similar operator

Unitary operator.

Anas A.

Laith K.

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In this paper, the Normality set will be investigated. Then, the study highlights some concepts properties and important results. In addition, it will prove that every operator with normality set has non trivial invariant subspace of .

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Publication Date

Mon Jul 01 2019

Journal Name

Iop Conference Series: Materials Science And Engineering

Proximal schemes by family of szl –widering mappings

S S

Z H

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Abstractin this paper, we give a concept of <italic>szl</italic> –widering mapping which is independent of nonspreading mappings, <italic>k</italic> – strictly pseudo nonspring mappings and nonexpansive mappings. Also we introduce a new proximal point schemes of resolvent and <italic>szl</italic> –widering mappings. On the other hand, we discuss that the weak and strong convergence for these proximal point schemes in real Hilbert space under different conditions to asymptotic common fixed point of <italic>szl</italic> –widering mappings.

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Publication Date

Sun Dec 06 2009

Journal Name

Baghdad Science Journal

Some Results of Feebly Open and Feebly Closed Mappings

"Feebly open set

feebly closed set

semi open set

semi closed set

feebly open and feebly closed mappings."

Dalal Ibraheem

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The main purpose of this paper is to study feebly open and feebly closed mappings and we proved several results about that by using some concepts of topological feebly open and feebly closed sets , semi open (- closed ) set , gs-(sg-) closed set and composition of mappings.

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Publication Date

Sat May 01 2021

Journal Name

Journal Of Physics: Conference Series

Equivalence of Some Iterations for Class of Quasi Contractive Mappings

Zena Hussein

Ali Qasem

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AbstractIn this article, we recalled different types of iterations as Mann, Ishikawa, Noor, CR-iteration and, Modified SP_iteration of quasi δ-contraction mappings, and we proved that all these iterations equivalent to approximate fixed points of δ-contraction mappings in Banach spaces.

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Publication Date

Mon Feb 01 2021

Journal Name

Journal Of Physics: Conference Series

The Convergence of Iterative Methods for Quasi δ-Contraction Mappings

A Q

Z H

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AbstractIn this article, we will present a quasi-contraction mapping approach for D iteration, and we will prove that this iteration with modified SP iteration has the same convergence rate. At the other hand, we prove that the D iteration approach for quasi-contraction maps is faster than certain current leading iteration methods such as, Mann and Ishikawa. We are giving a numerical example, too.

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