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

2 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.",

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AU - Sarwar, Muhammad

AU - Aydi, Hassen

AU - Ameer, Eskandar

PY - 2021

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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.

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JO - Journal of Mathematics

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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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