A modified Ishikawa iteration scheme for <i>b</i>‐enriched nonexpansive mapping to solve split variational inclusion problem and fixed point problem in Hilbert spaces-Reference-Cited by-同舟云学术

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

Published:2023-04-13 Issue:12 Volume:46 Page:13243-13261
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Phairatchatniyom Pawicha¹^ORCID,Kumam Poom¹²^ORCID,Berinde Vasile³⁴^ORCID

Affiliation:

1. KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science King Mongkut's University of Technology Thonburi (KMUTT) 126 Pracha‐Uthit Road, Bang Mod, Thung Khru Bangkok 10140 Thailand

2. Department of Medical Research, China Medical University Hospital China Medical University Taichung 40402 Taiwan

3. Department of Mathematics and Computer Science North University Center at Baia Mare, Technical University of Cluj‐Napoca Victoriei Str. no. 76 Baia Mare 430122 Romania

4. Academy of Romanian Scientists Ilfov Str. no. 3 Bucharest 050045 Romania

Abstract

In this article, an Ishikawa iteration scheme is modified for ‐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.

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9247

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