Iterating a system of set-valued variational inclusion problems in semi-inner product spaces
Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2022, v.29 no.4, pp.255-275
https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.255
Shafi, Sumeera
Shafi,,
S.
(2022). Iterating a system of set-valued variational inclusion problems in semi-inner product spaces. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 29(4), 255-275, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.255
Abstract
In this paper, we introduce a new system of set-valued variational inclusion problems in semi-inner product spaces. We use resolvent operator technique to propose an iterative algorithm for computing the approximate solution of the system of set-valued variational inclusion problems. The results presented in this paper generalize, improve and unify many previously known results in the literature.
- keywords
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system of set-valued variational inclusion problems,
H - <tex> ${\eta}$</tex>-accretive mappings,
2-uniformly smooth Banach spaces,
generalized adjoint operator,
iterative algorithm,
convergence analysis