Yantao Yang, Qing Yuan, A hybrid descent iterative algorithm for a split inclusion problem, Vol. 2018 (2018), Article ID 42, pp. 1-10

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DOI: 10.23952/jnfa.2018.42

Received June 20, 2018; Accepted December 3, 2018; Published December 13, 2018

 

Abstract. The purpose of this paper is to introduce a hybrid descent iterative algorithm for solving a split variational inclusion problem and a fixed point problem of a strict pseudocontraction mapping. We establish a strong convergence theorem of common solutions of the two problems in the framework of Hilbert spaces without any compact assumptions on any mapping.

 

How to Cite this Article:
Yantao Yang, Qing Yuan, A hybrid descent  iterative algorithm for a split inclusion problem, Journal of Nonlinear Functional Analysis, Vol. 2018 (2018), Article ID 42, pp. 1-10.