Iterating a system of set-valued variational inclusion problems in semi-inner product spaces

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, S.P. College, Cluster University)

Shafi, Sumeera. (2022). ITERATING A SYSTEM OF SET-VALUED VARIATIONAL INCLUSION PROBLEMS IN SEMI-INNER PRODUCT SPACES. 한국수학교육학회지시리즈B:순수및응용수학, 29(4), 255-275, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.255

복사

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

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논문 상세

Vol.29 No.4

ITERATING A SYSTEM OF SET-VALUED VARIATIONAL INCLUSION PROBLEMS IN SEMI-INNER PRODUCT SPACES

Iterating a system of set-valued variational inclusion problems in semi-inner product spaces

Abstract

한국수학교육학회지시리즈B:순수및응용수학