Periodic points of modular firmly mappings in the variable exponent sequence spaces ℓp(·)

Afrah A.N. Abdou; Mohamed A. Khamsi

doi:10.3390/math9192418

Periodic points of modular firmly mappings in the variable exponent sequence spaces ℓ_p(·)

Afrah A.N. Abdou
, Mohamed A. Khamsi

Mathematics

University of Jeddah

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

Abstract

In this work, we investigate the existence of periodic points of mappings defined on nonconvex domains within the variable exponent sequence spaces ℓ_p(·) . In particular, we consider the case of modular firmly nonexpansive and modular firmly asymptotically nonexpansive mappings. These kinds of results have never been obtained before.

Original language	British English
Article number	2418
Journal	Mathematics
Volume	9
Issue number	19
DOIs	https://doi.org/10.3390/math9192418
State	Published - 1 Oct 2021

Keywords

Electrorheological fluids
Fixed point
Modular firmly nonexpansive mapping
Modular vector spaces
Periodic point
Strictly convex
Uniformly convex

Access to Document

10.3390/math9192418

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Cite this

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title = "Periodic points of modular firmly mappings in the variable exponent sequence spaces ℓp(·)",

abstract = "In this work, we investigate the existence of periodic points of mappings defined on nonconvex domains within the variable exponent sequence spaces ℓp(·) . In particular, we consider the case of modular firmly nonexpansive and modular firmly asymptotically nonexpansive mappings. These kinds of results have never been obtained before.",

keywords = "Electrorheological fluids, Fixed point, Modular firmly nonexpansive mapping, Modular vector spaces, Periodic point, Strictly convex, Uniformly convex",

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note = "Funding Information: Acknowledgments: This project was funded by the University of Jeddah, Saudi Arabia, under grant No. UJ-20-DR-143. The authors, therefore, gratefully acknowledge with thanks the University technical and financial support. Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

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KW - Electrorheological fluids

KW - Fixed point

KW - Modular firmly nonexpansive mapping

KW - Modular vector spaces

KW - Periodic point

KW - Strictly convex

KW - Uniformly convex

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