The opial condition in variable exponent sequence spaces ℓp(·) with applications

Mostafa Bachar; Mohamed A. Khamsi; Messaoud Bounkhel

The opial condition in variable exponent sequence spaces ℓ_p(·) with applications

Mostafa Bachar
, Mohamed A. Khamsi^*
, Messaoud Bounkhel

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this work, we show an analogue to the Opial property for the coordinate-wise convergence in the variable exponent sequence space ℓ_p(·). This property allows us to prove a fixed point theorem for the mappings which are nonexpansive in the modular sense.

Original language	English
Pages (from-to)	273-279
Number of pages	7
Journal	Carpathian Journal of Mathematics
Volume	35
Issue number	3
State	Published - 2019

Bibliographical note

Publisher Copyright:
© 2019, SINUS Association. All rights reserved.

Keywords

Electrorheological fluids
Fixed point
Modular vector spaces
Nakano
Nonexpansive
Opial condition

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "The opial condition in variable exponent sequence spaces ℓp(·) with applications",

abstract = "In this work, we show an analogue to the Opial property for the coordinate-wise convergence in the variable exponent sequence space ℓp(·). This property allows us to prove a fixed point theorem for the mappings which are nonexpansive in the modular sense.",

keywords = "Electrorheological fluids, Fixed point, Modular vector spaces, Nakano, Nonexpansive, Opial condition",

author = "Mostafa Bachar and Khamsi, \{Mohamed A.\} and Messaoud Bounkhel",

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language = "English",

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journal = "Carpathian Journal of Mathematics",

issn = "1584-2851",

publisher = "North University of Baia Mare",

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AU - Bachar, Mostafa

AU - Khamsi, Mohamed A.

AU - Bounkhel, Messaoud

PY - 2019

Y1 - 2019

N2 - In this work, we show an analogue to the Opial property for the coordinate-wise convergence in the variable exponent sequence space ℓp(·). This property allows us to prove a fixed point theorem for the mappings which are nonexpansive in the modular sense.

AB - In this work, we show an analogue to the Opial property for the coordinate-wise convergence in the variable exponent sequence space ℓp(·). This property allows us to prove a fixed point theorem for the mappings which are nonexpansive in the modular sense.

KW - Electrorheological fluids

KW - Fixed point

KW - Modular vector spaces

KW - Nakano

KW - Nonexpansive

KW - Opial condition

UR - https://www.scopus.com/pages/publications/85075503399

M3 - Article

AN - SCOPUS:85075503399

SN - 1584-2851

VL - 35

SP - 273

EP - 279

JO - Carpathian Journal of Mathematics

JF - Carpathian Journal of Mathematics

IS - 3

ER -