Abstract
The aspiration of the article is to find a solution of split inclusion problem associated to Cayley operator $\mathsf{C}^{\mathsf{M}}_{\lambda}$ in the framework of real Hilbert space and we employ a classical approach to develop an iterative algorithm for solving this particular inclusion problem. Under few reliable conditions, we state and prove a weak/strong convergence theorem for the proposed algorithm. In addition, we also present an application to the split feasibility problem and illustrate a numerical example in order to show that the algorithm we proposed is efficient and feasible.
Key words: Inclusion problem, Cayley operator, resolvent operator, nonexpansive mapping, Maximal monotone.
Full Text
Article Information
| Title | Pair of Iterative algorithm for solving split inclusion problem associated to Cayley's operator in Hilbert spaces |
| Source | Methods Funct. Anal. Topology, Vol. 30 (2024), no. 3-4, 155-173 |
| DOI | 10.31392/MFAT-npu26_3-4.2024.08 |
| Copyright | The Author(s) 2024 (CC BY-SA) |
Authors Information
Uqba Rafat
Deaprtment of Mathematics and Statistics, Integral University, Lucknow, 226022, India
Citation Example
Uqba Rafat, Pair of Iterative algorithm for solving split inclusion problem associated to Cayley's operator in Hilbert spaces, Methods Funct. Anal. Topology 30
(2024), no. 3, 155-173.
BibTex
@article {MFAT2131,
AUTHOR = {Uqba Rafat},
TITLE = {Pair of Iterative algorithm for solving split inclusion problem associated to Cayley's operator in Hilbert spaces},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {30},
YEAR = {2024},
NUMBER = {3},
PAGES = {155-173},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_3-4.2024.08},
URL = {https://mfat.imath.kiev.ua/article/?id=2131},
}
