Some results on asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense and equilibrium problems

Chunyan Huang, Xiaoyan Ma · Journal of Inequalities and Applications · 2014

In this paper, we investigate a common fixed point problem of a finite family of asymptotically quasi- ϕ -nonexpansive mappings in the intermediate sense and an equilibrium problem. Strong convergence theorems of common solutions are established in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property. MSC: 47H09, 47J25, 90C33.

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