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Received January 29, 2018; Accepted August 13, 2018; Published August 27, 2018.
Abstract. In this paper, a splitting algorithm is investigated for zero and fixed points of nonlinear operators. A weak convergence theorem is established in a uniformly convex and 2-uniformly smooth Banach space. An application to an equilibrium problem is provided to support our main results.
How to Cite this Article:
Hecai Yuan, A splitting algorithm in a uniformly convex and 2-uniformly smooth Banach space, Journal of Nonlinear Functional Analysis, Vol. 2018 (2018), Article ID 26, pp. 1-12.