A Strong Convergence to a Common Fixed Point of a Subfamily of a Nonexpansive Evolution Family of Bounded Linear Operators on a Hilbert Space

Gul Rahmat; Masaud Khan; Muhammad Sarwar; Hassen Aydi; Eskandar Ameer

doi:10.1155/2021/2392088

A Strong Convergence to a Common Fixed Point of a Subfamily of a Nonexpansive Evolution Family of Bounded Linear Operators on a Hilbert Space

Gul Rahmat, Masaud Khan, Muhammad Sarwar, Hassen Aydi, Eskandar Ameer^*

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

In this article, we establish some results for convergence in a strong sense to a common fixed point of a subfamily of a nonexpansive evolution family of bounded linear operators on a Hilbert space. The obtained results generalize some existing ones in the literature for semigroups of operators. An example and an open problem are also given at the end.

Original language	English
Article number	2392088
Journal	Journal of Mathematics
Volume	2021
DOIs	https://doi.org/10.1155/2021/2392088
Publication status	Published - 2021
Externally published	Yes

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abstract = "In this article, we establish some results for convergence in a strong sense to a common fixed point of a subfamily of a nonexpansive evolution family of bounded linear operators on a Hilbert space. The obtained results generalize some existing ones in the literature for semigroups of operators. An example and an open problem are also given at the end.",

author = "Gul Rahmat and Masaud Khan and Muhammad Sarwar and Hassen Aydi and Eskandar Ameer",

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AU - Rahmat, Gul

AU - Khan, Masaud

AU - Sarwar, Muhammad

AU - Aydi, Hassen

AU - Ameer, Eskandar

PY - 2021

Y1 - 2021

N2 - In this article, we establish some results for convergence in a strong sense to a common fixed point of a subfamily of a nonexpansive evolution family of bounded linear operators on a Hilbert space. The obtained results generalize some existing ones in the literature for semigroups of operators. An example and an open problem are also given at the end.

AB - In this article, we establish some results for convergence in a strong sense to a common fixed point of a subfamily of a nonexpansive evolution family of bounded linear operators on a Hilbert space. The obtained results generalize some existing ones in the literature for semigroups of operators. An example and an open problem are also given at the end.

UR - https://www.scopus.com/pages/publications/85112674571

U2 - 10.1155/2021/2392088

DO - 10.1155/2021/2392088

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JO - Journal of Mathematics

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M1 - 2392088

ER -

A Strong Convergence to a Common Fixed Point of a Subfamily of a Nonexpansive Evolution Family of Bounded Linear Operators on a Hilbert Space

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