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A NEW ALGORITHM FOR FINDING A COMMON SOLUTION OF A SPLIT VARIATIONAL INEQUALITY PROBLEM, THE FIXED POINT PROBLEMS AND THE VARIATIONAL INCLUSION PROBLEMS
- Authors
- Sun, Wenlong; Liu, Yanqiu; Jin, Yuanfeng; Park, Choonkil
- Issue Date
- Dec-2021
- Publisher
- ELEMENT
- Keywords
- Split common fixed point; variational inclusion; variational inequality; nonexpansive mappings
- Citation
- JOURNAL OF MATHEMATICAL INEQUALITIES, v.15, no.4, pp.1677 - 1693
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL INEQUALITIES
- Volume
- 15
- Number
- 4
- Start Page
- 1677
- End Page
- 1693
- ISSN
- 1846-579X
- Abstract
- In this paper, we present a new iterative algorithm for finding a common element of the set of solutions of a split variational inequality problem, the set of fixed points of an infinite family of nonexpansive mappings and the set of solutions of a variational inclusion problem in Hilbert spaces. Under some mild conditions imposed on algorithm parameters, we prove that the proposed iterative algorithm have strong convergence.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)