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

Mohd Asad, Mohammad Dilshad (), Doaa Filali and Mohammad Akram ()
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Mohd Asad: School of Applied Sciences and Humanities, Maharshi University of Information and Technology, Noida 201304, India
Mohammad Dilshad: Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia
Doaa Filali: Department of Mathematical Science, College of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Mohammad Akram: Department of Mathematics, Faculty of Science, Islamic University of Madinah, P.O. Box 170, Madinah 42351, Saudi Arabia

Mathematics, 2023, vol. 11, issue 19, 1-18

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.

Keywords: split generalized equilibrium problem; split common null point problem; viscosity approximation method; self-adaptive step size (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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