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Inertial Iterative Algorithms for Split Variational Inclusion and Fixed Point Problems.
- Source :
-
Axioms (2075-1680) . Sep2023, Vol. 12 Issue 9, p848. 17p. - Publication Year :
- 2023
-
Abstract
- This paper aims to present two inertial iterative algorithms for estimating the solution of split variational inclusion (S p VI s P) and its extended version for estimating the common solution of (S p VI s P) and fixed point problem (FPP) of a nonexpansive mapping in the setting of real Hilbert spaces. We establish the weak convergence of the proposed algorithms and strong convergence of the extended version without using the pre-estimated norm of a bounded linear operator. We also exhibit the reliability and behavior of the proposed algorithms using appropriate assumptions in a numerical example. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGORITHMS
*NONEXPANSIVE mappings
*LINEAR operators
*HILBERT space
Subjects
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 12
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Axioms (2075-1680)
- Publication Type :
- Academic Journal
- Accession number :
- 172410583
- Full Text :
- https://doi.org/10.3390/axioms12090848