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Multiple-sets split feasibility problem and split equality fixed point problem for firmly quasi-nonexpansive or nonexpansive mappings
- Source :
- Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-21 (2021)
- Publication Year :
- 2021
- Publisher :
- SpringerOpen, 2021.
-
Abstract
- In this paper, we propose a new iterative algorithm for solving the multiple-sets split feasibility problem (MSSFP for short) and the split equality fixed point problem (SEFPP for short) with firmly quasi-nonexpansive operators or nonexpansive operators in real Hilbert spaces. Under mild conditions, we prove strong convergence theorems for the algorithm by using the projection method and the properties of projection operators. The result improves and extends the corresponding ones announced by some others in the earlier and recent literature.
- Subjects :
- Hilbert spaces
Iterative method
Applied Mathematics
010102 general mathematics
Hilbert space
01 natural sciences
010101 applied mathematics
symbols.namesake
Fixed point problem
Projection (mathematics)
Strong convergence
Convergence (routing)
Iterative algorithm
Projection method
symbols
QA1-939
Discrete Mathematics and Combinatorics
Applied mathematics
Mutiple-sets split feasibility problem
0101 mathematics
Split equality fixed point problem
Analysis
Mathematics
Subjects
Details
- Language :
- English
- Volume :
- 2021
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Journal of Inequalities and Applications
- Accession number :
- edsair.doi.dedup.....38a6279bf93c008f3f69d719c9ec1e88