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SPLIT HIERARCHICAL MONOTONE VARIATIONAL INCLUSIONS INVOLVING FINITE FAMILIES OF FIRMLY NON-EXPANSIVE MAPPINGS.
- Source :
-
Journal of Mathematical Analysis . 2017, Vol. 8 Issue 3, p148-156. 9p. - Publication Year :
- 2017
-
Abstract
- In this article, we consider a split monotone variational inclusions constraints over the set of fixed points of finite families of firmly non-expansive mappings, named split hierarchical monotone variational inclusions problem (in short: SHMVIP). We propose an iterative algorithm for solving SHMVIP. Further, we prove that the sequence generated by proposed algorithm converges weakly to the solution of SHMVIP. Strong convergence of the iterative algorithm is also discussed under some suitable assumptions. We give an example in support of our problem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 21173419
- Volume :
- 8
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 135254158