1. Split monotone variational inclusion problem involving Cayley operators.
- Author
-
Rahaman, Mijanur, Ishtyak, Mohd., Ahmad, Iqbal, and Ahmad, Rais
- Subjects
- *
VARIATIONAL inequalities (Mathematics) , *POSITIVE operators , *LINEAR operators , *HILBERT space , *NONEXPANSIVE mappings - Abstract
In this article, we introduce a new kind of split monotone variational inclusion problem involving Cayley operator in the setting of infinite-dimensional Hilbert spaces. We develop a general iterative method to approximate the solution of the split monotone variational inclusion problem involving Cayley operator. Under some suitable conditions, a convergence theorem for the sequences generated by the proposed iterative scheme is established, which also solves certain variational inequality problems related to strongly positive linear operators. Finally, a numerical example is presented to study the efficiency of the proposed algorithm through MATLAB programming. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF