A NEW ALGORITHM FOR FINDING A COMMON SOLUTION OF A SPLIT VARIATIONAL INEQUALITY PROBLEM, THE FIXED POINT PROBLEMS AND THE VARIATIONAL INCLUSION PROBLEMS

  • Sun, Wenlong
  • Liu, Yanqiu
  • Jin, Yuanfeng
  • Park, Choonkil
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초록

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.

키워드

Split common fixed pointvariational inclusionvariational inequalitynonexpansive mappingsOPERATORSMONOTONE
제목
A NEW ALGORITHM FOR FINDING A COMMON SOLUTION OF A SPLIT VARIATIONAL INEQUALITY PROBLEM, THE FIXED POINT PROBLEMS AND THE VARIATIONAL INCLUSION PROBLEMS
저자
Sun, WenlongLiu, YanqiuJin, YuanfengPark, Choonkil
DOI
10.7153/jmi-2021-15-115
발행일
2021-12
유형
Article
저널명
Journal of Mathematical Inequalities
15
4
페이지
1677 ~ 1693