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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| Published in: | Mathematics (Basel) Vol. 11; no. 19; p. 4175 |
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| Main Authors: | , , , |
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| Language: | English |
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01.10.2023
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| ISSN: | 2227-7390, 2227-7390 |
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| Abstract | 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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| AbstractList | 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. |
| Audience | Academic |
| Author | Akram, Mohammad Dilshad, Mohammad Filali, Doaa Asad, Mohd |
| Author_xml | – sequence: 1 givenname: Mohd surname: Asad fullname: Asad, Mohd – sequence: 2 givenname: Mohammad orcidid: 0000-0003-3217-8295 surname: Dilshad fullname: Dilshad, Mohammad – sequence: 3 givenname: Doaa surname: Filali fullname: Filali, Doaa – sequence: 4 givenname: Mohammad orcidid: 0000-0003-1416-5351 surname: Akram fullname: Akram, Mohammad |
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| SubjectTerms | 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 |
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| Title | A Modified Viscosity-Type Self-Adaptive Iterative Algorithm for Common Solution of Split Problems with Multiple Output Sets in Hilbert Spaces |
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