Solving a Split Feasibility Problem by the Strong Convergence of Two Projection Algorithms in Hilbert Spaces

Hasanen A. Hammad; Habib Ur Rehman; Yaé Ulrich Gaba

doi:10.1155/2021/5562694

Solving a Split Feasibility Problem by the Strong Convergence of Two Projection Algorithms in Hilbert Spaces

Hasanen A. Hammad, Habib Ur Rehman, Yaé Ulrich Gaba^*

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

The goal of this manuscript is to establish strong convergence theorems for inertial shrinking projection and CQ algorithms to solve a split convex feasibility problem in real Hilbert spaces. Finally, numerical examples were obtained to discuss the performance and effectiveness of our algorithms and compare the proposed algorithms with the previous shrinking projection, hybrid projection, and inertial forward-backward methods.

Original language	English
Article number	5562694
Journal	Journal of Function Spaces
Volume	2021
DOIs	https://doi.org/10.1155/2021/5562694
Publication status	Published - 2021
Externally published	Yes

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title = "Solving a Split Feasibility Problem by the Strong Convergence of Two Projection Algorithms in Hilbert Spaces",

abstract = "The goal of this manuscript is to establish strong convergence theorems for inertial shrinking projection and CQ algorithms to solve a split convex feasibility problem in real Hilbert spaces. Finally, numerical examples were obtained to discuss the performance and effectiveness of our algorithms and compare the proposed algorithms with the previous shrinking projection, hybrid projection, and inertial forward-backward methods.",

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AU - Rehman, Habib Ur

AU - Gaba, Yaé Ulrich

PY - 2021

Y1 - 2021

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AB - The goal of this manuscript is to establish strong convergence theorems for inertial shrinking projection and CQ algorithms to solve a split convex feasibility problem in real Hilbert spaces. Finally, numerical examples were obtained to discuss the performance and effectiveness of our algorithms and compare the proposed algorithms with the previous shrinking projection, hybrid projection, and inertial forward-backward methods.

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DO - 10.1155/2021/5562694

M3 - Article

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VL - 2021

JO - Journal of Function Spaces

JF - Journal of Function Spaces

M1 - 5562694

ER -

Solving a Split Feasibility Problem by the Strong Convergence of Two Projection Algorithms in Hilbert Spaces

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