An Inertial method for solutions of split equality inclusion problems

The main objective of this Thesis is to introduce and study the Split Equality Inclusion Problem in the framework of real Hilbert spaces. In order to solve this problem, we propose an inertial method for approximating a solution of the problem. Using the method, we prove a strong convergence theorem...

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2023-11, Vol.72 (7), p.3709-3731
Main Authors: Thobogang, Omponye T., Zegeye, Habtu, Boikanyo, Oganeditse A.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Hilbert space
Mathematics
Mathematics and Statistics
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Summary:The main objective of this Thesis is to introduce and study the Split Equality Inclusion Problem in the framework of real Hilbert spaces. In order to solve this problem, we propose an inertial method for approximating a solution of the problem. Using the method, we prove a strong convergence theorem to a solution of the problem. In addition, we provide some applications of our method and present numerical results to demonstrate the applicability and efficiency of the proposed method. The result obtained in this paper generalizes and improves several results in the Literature in this direction.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-022-00853-5