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An Inertial Iterative Algorithm with Strong Convergence for Solving Modified Split Feasibility Problem in Banach Spaces
- Source :
- Journal of Mathematics, Vol 2021 (2021)
- Publication Year :
- 2021
- Publisher :
- Hindawi Limited, 2021.
-
Abstract
- In this paper, we propose an iterative scheme for a special split feasibility problem with the maximal monotone operator and fixed-point problem in Banach spaces. The algorithm implements Halpern’s iteration with an inertial technique for the problem. Under some mild assumption of the monotonicity of the related mapping, we establish the strong convergence of the sequence generated by the algorithm which does not require the spectral radius of A T A. Finally, the numerical example is presented to demonstrate the efficiency of the algorithm.
- Subjects :
- Sequence
021103 operations research
Inertial frame of reference
Article Subject
Iterative method
Spectral radius
General Mathematics
010102 general mathematics
0211 other engineering and technologies
Banach space
Monotonic function
02 engineering and technology
01 natural sciences
Scheme (mathematics)
Convergence (routing)
QA1-939
Applied mathematics
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 23144785 and 23144629
- Volume :
- 2021
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematics
- Accession number :
- edsair.doi.dedup.....d10c432bcc90fe70d35538120975ba35