Abstract
In this article, we propose hybrid projection iterative algorithm for finding a common element of solution set of a finite family of generalized mixed equilibrium problem, semi-fixed point set of a finite family of continuous semi-pseudocontractive mappings and solution set of a finite family of variational inequality for a finite family of monotone and L-Lipschitz mappings in Banach spaces and proved strong convergence theorem. The main result of the article generalizes some of known results in the literature. Furthermore, we give a numerical example to demonstrate the behavior of the convergence of the algorithm.
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Acknowledgements
This work was supported by Simons Foundation funded project based at Botswana International University of Science and Technology (BIUST), Palapye, Botswana (Grant No: ID267269FY17). The first author was also supported by the International Science Program(ISP)- Sweden, based in the Department of Mathematics, Addis Ababa University, Ethiopia.
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Communicated by Joerg Fliege.
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Zegeye, S.B., Sangago, M.G. & Zegeye, H. Approximation of common solutions of nonlinear problems in Banach spaces. Comp. Appl. Math. 41, 200 (2022). https://doi.org/10.1007/s40314-022-01907-1
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DOI: https://doi.org/10.1007/s40314-022-01907-1