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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th-cmuir.6653943832-425922017-09-28T04:27:59Z Strong convergence of a viscosity iterative algorithm in banach spaces with applications Imnang S. Suantai S. © 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. 2017-09-28T04:27:59Z 2017-09-28T04:27:59Z 2016-01-01 Journal 1312885X 2-s2.0-85003510900 10.12988/ams.2016.66198 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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© 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. |
| format |
Journal |
| author |
Imnang S. Suantai S. |
| spellingShingle |
Imnang S. Suantai S. Strong convergence of a viscosity iterative algorithm in banach spaces with applications |
| author_facet |
Imnang S. Suantai S. |
| author_sort |
Imnang S. |
| title |
Strong convergence of a viscosity iterative algorithm in banach spaces with applications |
| title_short |
Strong convergence of a viscosity iterative algorithm in banach spaces with applications |
| title_full |
Strong convergence of a viscosity iterative algorithm in banach spaces with applications |
| title_fullStr |
Strong convergence of a viscosity iterative algorithm in banach spaces with applications |
| title_full_unstemmed |
Strong convergence of a viscosity iterative algorithm in banach spaces with applications |
| title_sort |
strong convergence of a viscosity iterative algorithm in banach spaces with applications |
| publishDate |
2017 |
| url |
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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1681422218671685632 |