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381172

Fixed points, normal structure and moduli of semi-UKK, semi-NUC and semi-UKK spaces

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Last updated: 05 Jan 2025

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Abstract

Let X and X be a Banach space and its dual. In this paper a new kind of separation measure, u-separation, is introduced. The new kind of Banach spaces: semi-UKK and semi-NUC, and
modulus of semi-UKK and modulus of semi-NUC are introduced in terms of this u-separation
measure. The relationships of these moduli with normal structure, reflexivity and other convex
properties are studied respectively. Many known results for fixed points of nonexpansive mappings
are improved upon. The u-separation measure and its properties in X are also defined and studied.

DOI

10.1016/j.joems.2014.01.004

Keywords

fixed point, Modulus of semi-UKK, Modulus of semi-NUC, Modulus of semi-UKK*, Nonexpansive mapping, Normal structure

Authors

First Name

M.M.

Last Name

Khader

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

Email

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City

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Orcid

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First Name

Satit

Last Name

Saejung

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Email

-

City

-

Orcid

-

First Name

Ji

Last Name

Gao

MiddleName

-

Affiliation

Department of Mathematics, Community College of Philadelphia, Philadelphia, PA 19130-3991, USA

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-

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Orcid

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Volume

23

Article Issue

1

Related Issue

50465

Issue Date

2015-04-01

Receive Date

2024-09-23

Publish Date

2015-04-01

Page Start

113

Page End

118

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 1_Pages 113-118.pdf

PDF . 448.1kB

Link

https://joems.journals.ekb.eg/article_381172.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381172

Order

381,172

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Fixed points, normal structure and moduli of semi-UKK, semi-NUC and semi-UKK spaces

Details

Type

Article

Created At

21 Dec 2024