On modular firmly nonexpansive mappings in the variable exponent sequence spaces ℓp(·)

Afrah A.N. Abdou; M. A. Khamsi

doi:10.1007/s11784-020-00842-0

On modular firmly nonexpansive mappings in the variable exponent sequence spaces ℓ_p₍_·₎

Afrah A.N. Abdou
, M. A. Khamsi

Mathematics

King Abdulaziz University
University of Jeddah

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

1 Scopus citations

Abstract

In this paper, we reexamine the concept of firmly nonexpansiveness in the modular sense in the variable exponent sequence spaces ℓ_p₍_·₎. In particular, we extend the classical fixed point results for firmly nonexpansive mappings defined in Banach spaces to the modular case within the spaces ℓ_p₍_·₎.

Original language	British English
Article number	8
Journal	Journal of Fixed Point Theory and Applications
Volume	23
Issue number	1
DOIs	https://doi.org/10.1007/s11784-020-00842-0
State	Published - Mar 2021

Keywords

Electrorheological fluids
fixed point
modular firmly nonexpansive mapping
modular vector spaces
Nakano
strictly convex
uniformly convex

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10.1007/s11784-020-00842-0

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Cite this

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abstract = "In this paper, we reexamine the concept of firmly nonexpansiveness in the modular sense in the variable exponent sequence spaces ℓp(·). In particular, we extend the classical fixed point results for firmly nonexpansive mappings defined in Banach spaces to the modular case within the spaces ℓp(·).",

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KW - strictly convex

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