On some renormings of l2

Bozena Piatek

doi:10.1016/j.jmaa.2025.129383

On some renormings of l₂

Bozena Piatek

Katedra Matematyki (RMS/RMS1)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

Abstrakt

Inspired by Melado and Llorens-Fustera (2013) [9] and Dutta and Veeramani (2021) [5], we analyse some renormings of l₂. In this class of spaces, we consider the existence of fixed points for two types of mappings: nonexpansive ones and mappings of asymptotically nonexpansive type.

Język oryginału	angielski
Numer artykułu	129383
Czasopismo	Journal of Mathematical Analysis and Applications
Tom	547
Numer wydania	2
Identyfikatory DOI	https://doi.org/10.1016/j.jmaa.2025.129383
Status publikacji	Opublikowano - 15 lip 2025

Obszary tematyczne ASJC Scopus

Analiza
Matematyka stosowana

Uzyskaj dostęp do dokumentu

10.1016/j.jmaa.2025.129383

Inne pliki i linki

Link do publikacji w Scopus

Cytowanie

@article{fbd73def76e44293909ae5c4f881d5fc,

title = "On some renormings of l2",

abstract = "Inspired by Melado and Llorens-Fustera (2013) [9] and Dutta and Veeramani (2021) [5], we analyse some renormings of l2. In this class of spaces, we consider the existence of fixed points for two types of mappings: nonexpansive ones and mappings of asymptotically nonexpansive type.",

keywords = "Mapping of asymptotically nonexpansive type, Nonexpansive mapping, Normal structure, Renorming",

author = "Bozena Piatek",

note = "Publisher Copyright: {\textcopyright} 2025 Elsevier Inc.",

year = "2025",

month = jul,

day = "15",

doi = "10.1016/j.jmaa.2025.129383",

language = "English",

volume = "547",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - On some renormings of l2

AU - Piatek, Bozena

PY - 2025/7/15

Y1 - 2025/7/15

N2 - Inspired by Melado and Llorens-Fustera (2013) [9] and Dutta and Veeramani (2021) [5], we analyse some renormings of l2. In this class of spaces, we consider the existence of fixed points for two types of mappings: nonexpansive ones and mappings of asymptotically nonexpansive type.

AB - Inspired by Melado and Llorens-Fustera (2013) [9] and Dutta and Veeramani (2021) [5], we analyse some renormings of l2. In this class of spaces, we consider the existence of fixed points for two types of mappings: nonexpansive ones and mappings of asymptotically nonexpansive type.

KW - Mapping of asymptotically nonexpansive type

KW - Nonexpansive mapping

KW - Normal structure

KW - Renorming

UR - https://www.scopus.com/pages/publications/85218137821

U2 - 10.1016/j.jmaa.2025.129383

DO - 10.1016/j.jmaa.2025.129383

M3 - Article

AN - SCOPUS:85218137821

SN - 0022-247X

VL - 547

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

M1 - 129383

ER -