Block methods for a convex feasibility problem in a Banach space

Mingliang Zhang, Ravi P. Agarwal · The Journal of Nonlinear Sciences and Applications · 2016

In this paper, a convex feasibility problem is investigated based on a block method. Strong convergence theorems for common solutions of equilibrium problems and generalized asymptotically quasi-\(\phi\)- nonexpansive mappings are established in a strictly convex and uniformly smooth Banach space which also has the Kadec-Klee property. The results obtained in this paper unify and improve many corresponding results announced recently.

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