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Abstract
In this paper, we introduce and study a viscosity iterative method to approximate a common solution of a split variational inclusion problem and a fixed point problem for a nonexpansive mapping in real Hilbert spaces. Further, we prove that the sequences generated by the proposed viscosity iterative method converge strongly to a common solution of the nonlinear problems. The results presented in this paper are the supplement, extension and generalization of the previously known results in this field.
How to Cite this Article:
Nannan Fang, Yanpeng Gong, Viscosity iterative methods for split variational inclusion problems and fixed point problems of a nonexpansive mapping, Communications in Optimization Theory 2016 (2016), Article ID 11.