A Modified Viscosity-Type Self-Adaptive Iterative Algorithm for Common Solution of Split Problems with Multiple Output Sets in Hilbert Spaces

A modified viscosity-type self-adaptive iterative algorithm is presented in this study, having a strong convergence theorem for estimating the common solution to the split generalized equilibrium problem along with the split common null point problem with multiple output sets, subject to some reason...

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Bibliographic Details
Published in:Mathematics (Basel) Vol. 11; no. 19; p. 4175
Main Authors: Asad, Mohd, Dilshad, Mohammad, Filali, Doaa, Akram, Mohammad
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.10.2023
Subjects:
Adaptive algorithms
Algorithms
Equilibrium
Hilbert space
Investigations
Iterative algorithms
Medical imaging equipment
Radiation
Radiotherapy
self-adaptive step size
Signal processing
split common null point problem
split generalized equilibrium problem
Viscosity
viscosity approximation method
ISSN:2227-7390, 2227-7390
Online Access:Get full text
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Summary:A modified viscosity-type self-adaptive iterative algorithm is presented in this study, having a strong convergence theorem for estimating the common solution to the split generalized equilibrium problem along with the split common null point problem with multiple output sets, subject to some reasonable control sequence restrictions. The suggested algorithm and its immediate consequences are also discussed. The effectiveness of the proposed algorithm is finally demonstrated through analytical examples. The findings presented in this paper will help to consolidate, extend, and improve upon a number of recent findings in the literature.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math11194175