Nannan Fang, Some results on split variational inclusion and fixed point problems in Hilbert spaces, Vol. 2017 (2017), Article ID 5, pp. 1-13

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DOI: 10.23952/cot.2017.5

 

Received August 19, 2016; Accepted November 17, 2016; Published January 5, 2017

 

Abstract. The purpose of this paper is to study  common solutions of split variational inclusion  and fixed point problems of a nonexpansive mapping via a new viscosity iterative method with Meri-Keeler contractions. A strong convergence theorem is established in the framework of Hilbert spaces with mild restrictions imposed on the control sequences. The result presented in this paper are the supplement, extension and generalization of the previously known results in this area.

 

How to Cite this Article:

Nannan Fang, Some results on split variational inclusion and fixed point problems in Hilbert spaces, Communications in Optimization Theory, Vol. 2017 (2017), Article ID 5, pp. 1-13.