Strong convergence to fixed points of an evolution subfamily

Gul Rahmat; Tariq Shah; Muhammad Sarwar; Saber Mansour; Hassen Aydi

doi:10.3934/math.20231039

Strong convergence to fixed points of an evolution subfamily

Gul Rahmat
, Tariq Shah
, Muhammad Sarwar^*
, Saber Mansour
, Hassen Aydi^*

^*Corresponding author for this work

Research output: Contribution to journal › Review article › peer-review

Abstract

In this manuscript, we give strong convergence results for a fixed point of a subfamily of an evolution family on a convex and closed subset D of a Banach space B. An example is also provided which shows the applications of evolution families and our main results. At the end, an open problem is given.

Original language	English
Pages (from-to)	20380-20394
Number of pages	15
Journal	AIMS Mathematics
Volume	8
Issue number	9
DOIs	https://doi.org/10.3934/math.20231039
Publication status	Published - 2023
Externally published	Yes

Keywords

Banach space
evolution family
non-expansive mappings
strong convergence

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10.3934/math.20231039

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@article{71a39ed140b04cd2be1331d50bafbb52,

title = "Strong convergence to fixed points of an evolution subfamily",

abstract = "In this manuscript, we give strong convergence results for a fixed point of a subfamily of an evolution family on a convex and closed subset D of a Banach space B. An example is also provided which shows the applications of evolution families and our main results. At the end, an open problem is given.",

keywords = "Banach space, evolution family, non-expansive mappings, strong convergence",

author = "Gul Rahmat and Tariq Shah and Muhammad Sarwar and Saber Mansour and Hassen Aydi",

year = "2023",

doi = "10.3934/math.20231039",

language = "English",

volume = "8",

pages = "20380--20394",

journal = "AIMS Mathematics",

issn = "2473-6988",

publisher = "American Institute of Mathematical Sciences",

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TY - JOUR

T1 - Strong convergence to fixed points of an evolution subfamily

AU - Rahmat, Gul

AU - Shah, Tariq

AU - Sarwar, Muhammad

AU - Mansour, Saber

AU - Aydi, Hassen

PY - 2023

Y1 - 2023

N2 - In this manuscript, we give strong convergence results for a fixed point of a subfamily of an evolution family on a convex and closed subset D of a Banach space B. An example is also provided which shows the applications of evolution families and our main results. At the end, an open problem is given.

AB - In this manuscript, we give strong convergence results for a fixed point of a subfamily of an evolution family on a convex and closed subset D of a Banach space B. An example is also provided which shows the applications of evolution families and our main results. At the end, an open problem is given.

KW - Banach space

KW - evolution family

KW - non-expansive mappings

KW - strong convergence

UR - https://www.scopus.com/pages/publications/85164190597

U2 - 10.3934/math.20231039

DO - 10.3934/math.20231039

M3 - Review article

AN - SCOPUS:85164190597

SN - 2473-6988

VL - 8

SP - 20380

EP - 20394

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 9

ER -

Strong convergence to fixed points of an evolution subfamily

Abstract

Keywords

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