General viscosity iterative method for a sequence of quasi-nonexpansive mappings

Volume 9, Issue 10, pp 5672--5682 http://dx.doi.org/10.22436/jnsa.009.10.13

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Authors

Cuijie Zhang - College of Science, Civil Aviation University of China, Tianjin 300300, China. Yinan Wang - College of Science, Civil Aviation University of China, Tianjin 300300, China.

Abstract

In this paper, we study a general viscosity iterative method due to Aoyama and Kohsaka for the fixed point problem of quasi-nonexpansive mappings in Hilbert space. First, we obtain a strong convergence theorem for a sequence of quasi-nonexpansive mappings. Then we give two applications about variational inequality problem to encourage our main theorem. Moreover, we give a numerical example to illustrate our main theorem.

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Keywords

• Quasi-nonexpansive mapping
• variational inequality
• fixed point
• viscosity iterative method.

MSC

•  47H10
•  47J20

References

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