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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Bibliographic Details
Published in:	Mathematical methods in the applied sciences Vol. 46; no. 12; pp. 13243 - 13261
Main Authors:	Phairatchatniyom, Pawicha, Kumam, Poom, Berinde, Vasile
Format:	Journal Article
Language:	English
Published:	Freiburg Wiley Subscription Services, Inc 01.08.2023
Subjects:	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
Online Access:	Get full text
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Summary:	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.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	0170-4214 1099-1476
DOI:	10.1002/mma.9247