Based on the extragradient-like method combined with shrinking projection, we propose two algorithms, the first algorithm is obtained using sequential computation of extragradient-like method and the second algorithm is obtained using parallel computation of extragradient-like method, to find a common point of the set of fixed points of a nonexpansive mapping and the solution set of the equilibrium problem of a bifunction given as a sum of the finite number of H ̈older continuous bifunctions. The convergence theorems for iterative sequences generated by the algorithms are established under widely used assumptions for the bifunction and its summands
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Bedane, D. S., & Gebrie, A. G. (2022). Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems. Computational Methods for Differential Equations, 10(3), 639-655. doi: 10.22034/cmde.2021.44502.1879
MLA
Dejene Shewakena Bedane; Anteneh Getachew Gebrie. "Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems". Computational Methods for Differential Equations, 10, 3, 2022, 639-655. doi: 10.22034/cmde.2021.44502.1879
HARVARD
Bedane, D. S., Gebrie, A. G. (2022). 'Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems', Computational Methods for Differential Equations, 10(3), pp. 639-655. doi: 10.22034/cmde.2021.44502.1879
VANCOUVER
Bedane, D. S., Gebrie, A. G. Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems. Computational Methods for Differential Equations, 2022; 10(3): 639-655. doi: 10.22034/cmde.2021.44502.1879
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