Strong convergence of a viscosity iterative algorithm in banach spaces with applications
© 2016 Suwicha Imnang and Suthep Suantai. We present the strong convergence theorems for the viscosity iterative scheme for finding a common element of the solution set of the system of general variational inequalities for two arbitrary nonlinear mappings and the fixed point set of a nonexpansive ma...
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| Main Authors: | , |
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| Format: | Journal |
| Published: |
2017
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| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85003510900&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42592 |
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| Institution: | Chiang Mai University |
| Summary: | © 2016 Suwicha Imnang and Suthep Suantai. We present the strong convergence theorems for the viscosity iterative scheme for finding a common element of the solution set of the system of general variational inequalities for two arbitrary nonlinear mappings and the fixed point set of a nonexpansive mapping in real 2 uniformly smooth and uniformly convex Banach spaces. Furthermore,we apply our main result with the problem of approximating a zero point of accretive operators and a fixed point of strictly pseudocontractive mappings in Banach spaces. The main results presented in this paper improve and extend some results in the literature. |
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