Strong convergence of a hybrid algorithm in a Banach space

Volume 9, Issue 12, pp 6161--6169 http://dx.doi.org/10.22436/jnsa.009.12.21

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Authors

Qing Yuan - Department of Mathematics, Linyi University, 276000, China. Sun Young Cho - Center for General Educatin, China Medical University, Taichung, Taiwan. Xiaolong Qin - Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Sichuan, China. - Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.

Abstract

In this paper, we study a hybrid algorithm for finding a common solution of a finite family of equilibrium problems which is also a common fixed point of a finite family of asymptotically quasi-\(\phi\)-nonexpansive mappings in a strictly convex and uniformly smooth Banach space which also has the Kadec-Klee property.

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Keywords

• Mean valued algorithm
• hybrid algorithm
• convergence
• variational inequality
• hybrid algorithm.

MSC

•  65K15
•  49J40
•  90C33

References

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