Strong Convergence Theorem by a New Hybrid Method for Equilibrium Problems and Relatively Nonexpansive Mappings

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Parallel and sequential hybrid methods for a finite family of asymptotically quasi $$\phi $$ϕ-nonexpansive mappings (2015, background): “This algorithm has been modified and generalized for finding a common fixed point of a finite or infinite family of relatively nonexpansive mappings by several authors, such as Takahashi et al. [29], Takahashi and Zembayashi [30], Wang and Xuan [32], Reich and Sabach [24,25], Kang et al. [13], Plubt”
A monotone Bregan projection algorithm for fixed point and equilibrium problems in a reflexive Banach space (2020, methodology): “To modify the Mann-type iterative method such that the strong convergence is guaranteed without compact assumptions, hybrid projection techniques were considered; see [26, 30, 34].”