A modified Ishikawa iteration scheme for b‐enriched nonexpansive mapping to solve split variational inclusion problem and fixed point problem in Hilbert spaces

In this article, an Ishikawa iteration scheme is modified for b$$ b $$‐enriched nonexpansive mapping to solve a fixed point problem and a split variational inclusion problem in real Hilbert spaces. Under some suitable conditions, we obtain convergence theorem. Moreover, to demonstrate the effectiven...

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Vydáno v:Mathematical methods in the applied sciences Ročník 46; číslo 12; s. 13243 - 13261
Hlavní autoři: Phairatchatniyom, Pawicha, Kumam, Poom, Berinde, Vasile
Médium: Journal Article
Jazyk:angličtina
Vydáno: Freiburg Wiley Subscription Services, Inc 01.08.2023
Témata:
b$$ b $$‐enriched nonexpansive mapping
fixed point problem
Hilbert space
Ishikawa iteration scheme
Mapping
nonexpansive mapping
split feasibility problem
split variational inclusion problem
ISSN:0170-4214, 1099-1476
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Shrnutí:In this article, an Ishikawa iteration scheme is modified for b$$ b $$‐enriched nonexpansive mapping to solve a fixed point problem and a split variational inclusion problem in real Hilbert spaces. Under some suitable conditions, we obtain convergence theorem. Moreover, to demonstrate the effectiveness and performance of proposed scheme, we apply the scheme to solve a split feasibility problem and compare it with some existing iterative schemes.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.9247