Strong Convergence of the Shrinking Projection Method for the Split Equilibrium Problem and an Infinite Family of Relatively Nonexpansive Mappings in Banach spaces
Nutchari Niyamosot, Warunun Inthakon · Thai Journal of Mathematics · 2020
In this paper, we use the shrinking projection method to prove a strong convergence theorem for finding a common solution of the split equilibrium problem and fixed point problem of a relatively quasi − nonexpansive mapping. Consequently, our main theorem can apply to find a common solution of the split equilibrium problem and common fixed point problem for an infinite family of relatively nonexpansive mappings in Banach spaces.