On the split equality common fixed point problem for asymptotically nonexpansive semigroups in Banach spaces

Volume 9, Issue 6, pp 4003--4015 http://dx.doi.org/10.22436/jnsa.009.06.46

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Authors

Zhaoli Ma - School of Information Engineering, The College of Arts and Sciences, Yunnan Normal University, Kunming, Yunnan, 650222, China. Lin Wang - College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, China.

Abstract

In this article, we propose an iteration methods for finding a split equality common fixed point of asymptotically nonexpansive semigroups in Banach spaces. The weak and strong convergence theorems of the iteration scheme proposed are obtained. As application, we shall utilize our results to study the split equality variational inequality problems to support the main results. The results presented in the article are new and improve and extend some recent corresponding results.

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Keywords

• Split equality problem
• convergence
• asymptotically nonexpansive semigroup
• Banach spaces.

MSC

•  47H09
•  47H05
•  47J20

References

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