Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces

In this paper, we study the split common fixed point and monotone variational inclusion problem in uniformly convex and 2-uniformly smooth Banach spaces. We propose a Halpern-type algorithm with two self-adaptive stepsizes for obtaining solution of the problem and prove strong convergence theorem fo...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 86; no. 4; pp. 1359 - 1389
Main Authors:	Taiwo, A., Alakoya, T. O., Mewomo, O. T.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.04.2021 Springer Nature B.V
Subjects:	Algebra Algorithms Banach spaces Computer Science Hilbert space Inverse problems Iterative methods Numeric Computing Numerical Analysis Original Paper Theory of Computation Variational inclusion problem 47J22 Fixed point problem 47H10 Relatively nonexpansive mapping Halpern iteration Self-adaptive method Banach spaces 47J25 65J15
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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