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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

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

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
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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics