doi:10.24996/ijs.2020.SI.1.25

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Publication Date

Sun May 17 2020

Journal Name

Iraqi Journal Of Science

DOI

10.24996/ijs.2020.SI.1.25

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Types of Fixed Points of Set-Valued Contraction Mappings for Comparable Elements

Partially Ordered General Metric Spaces

Fixed Point

Coupled Point

Shaimia Qais

Salwa Salman

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This paper is concerned with the study of the fixed points of set-valued contractions on ordered metric spaces. The first part of the paper deals with the existence of fixed points for these mappings where the contraction condition is assumed for comparable variables. A coupled fixed point theorem is also established in the second part.

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Publication Date

Wed Dec 01 2021

Journal Name

Baghdad Science Journal

Some Results on Normalized Duality Mappings and Approximating Fixed Points in Convex Real Modular Spaces

Fixed Points

Iterative Sequences

Multivalued Mappings

Real Modular Spaces

Uniformly Convex. MSC: 49J40

47J20

Salwa Salman

Meena Fouad

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In this paper, the concept of normalized duality mapping has introduced in real convex modular spaces. Then, some of its properties have shown which allow dealing with results related to the concept of uniformly smooth convex real modular spaces. For multivalued mappings defined on these spaces, the convergence of a two-step type iterative sequence to a fixed point is proved

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(3)

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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Abstract<p>In 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.</p>

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(2)

Publication Date

Mon Jan 01 2018

Journal Name

Https://medwelljournals.com/journalhome.php?jid=1816-949x

Some generalized n-tuplet coincidence point theorems for nonlinear contraction mappings

Zena Hussein

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(12)

Publication Date

Sun Jan 20 2019

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Fixed Points Results in G-Metric Spaces

G- metric spaces

fixed points

F-contraction

Salwa Salman

Anaam Neamah

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In this paper, the concept of contraction mapping on a -metric space is extended with a consideration on local contraction. As a result, two fixed point theorems were proved for contraction on a closed ball in a complete -metric space.

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(1)

Publication Date

Thu Apr 26 2018

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Common Fixed Points in Modular Spaces

Modular spaces

fixed points

best approximations.

Salwa Salman

Karrar Emad

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In this paper,there are new considerations about the dual of a modular spaces and weak convergence. Two common fixed point theorems for a -non-expansive mapping defined on a star-shaped weakly compact subset are proved, Here the conditions of affineness, demi-closedness and Opial's property play an active role in the proving our results.

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(3)

Publication Date

Mon May 20 2019

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Convergence Comparison of two Schemes for Common Fixed Points with an Application

: Banach space

common fixed point

strong convergence

condition (C_Î»).

Salwa Salman

Zahra Mahmood

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Some cases of common fixed point theory for classes of generalized nonexpansive maps are studied. Also, we show that the Picard-Mann scheme can be employed to approximate the unique solution of a mixed-type Volterra-Fredholm functional nonlinear integral equation.

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(5)

Publication Date

Mon May 31 2021

Journal Name

Iraqi Journal Of Science

COMMON FIXED POINT OF JUNGCK PICARD ITRATIVE FOR TWO WEAKLY COMPATIBLE SELF-MAPPINGS

Common Fixed Point

b-Metric Space

Coincidence Points

Weakly Compatible Self-Mapping

Upper Semi-Continuous Mapping

Zeana Zaki

Zainab

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We develop the previously published results of Arab by using the function under certain conditions and using G-α-general admissible and triangular α-general admissible to prove coincidence fixed point and common fixed point theorems for two weakly compatible self –mappings in complete b-metric spaces.

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Publication Date

Sun Apr 23 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Fixed Point for Asymptotically Non-Expansive Mappings in 2-Banach Space

2-Banach space

Non-expansive mapping

Asymptotically non-expansive mapping

Fixed point.

Salwa S.

Rafah S. Abed

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In this paper, we introduced some fact in 2-Banach space. Also, we define asymptotically non-expansive mappings in the setting of 2-normed spaces analogous to asymptotically non-expansive mappings in usual normed spaces. And then prove the existence of fixed points for this type of mappings in 2-Banach spaces.

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Publication Date

Sun Feb 02 2020

Journal Name

University Of Baghdad, College Of Education For Pure Sciences / Ibn Al-haitham, Department Of Mathematics

Some Types of Perfect Mappings

j-perfect mappings

j-ω-perfect mappings

-ω-perfect mappings

weakly -ω-perfect mappings

strongly-ω-perfect mappings

nm- j-ω-converges to a subset

nm- j-ω-directed toward a set

nm- j-ω-closed mappings

nm- j-ω-rigid set

nm- j-ω-continuous mappings

nm- j-ω-perfect mappings in bitopological.

GHIDAA SADOON

Y. Y.

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The aims of this thesis are to study the topological space; we introduce a new kind of perfect mappings, namely j-perfect mappings and j-ω-perfect mappings. Furthermore, we devoted to study the relationship between j-perfect mappings and j-ω-perfect mappings. Finally, certain theorems and characterization concerning these concepts are studied. On the other hand, we studied weakly/ strongly forms of ω-perfect mappings, namely -ω-perfect mappings, weakly -ω-perfect mappings and strongly-ω-perfect mappings; also, we investigate their fundamental properties. We devoted to study the relationship between weakly -ω-perfect mappings and strongly -ω-perfect mappings. As well as, some new generalizations of some definitions wh

Publication Date

Sun Sep 07 2008

Journal Name

Baghdad Science Journal

A Fixed Point Theorem for L-Contraction in Generalized D-Metric Spaces

Salwa.S.

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We define L-contraction mapping in the setting of D-metric spaces analogous to L-contraction mappings [1] in complete metric spaces. Also, give a definition for general D- matric spaces.And then prove the existence of fixed point for more general class of mappings in generalized D-metric spaces.

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