Strong convergence analysis of a monotone projection algorithm in a Banach space

Volume 9, Issue 5, pp 2865--2874 http://dx.doi.org/10.22436/jnsa.009.05.81

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Authors

Xiaolong Qin - Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Sichuan, China. B. A. Bin Dehaish - Department of mathematics, Faculty of Science-AL Faisaliah Campus, King Abdulaziz University, Jeddah, Saudi Arabia. Abdul Latif - Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia. Sun Young Cho - Department of Mathematics, Gyeongsang National University, Jinju, Korea.

Abstract

An uncountable infinite family of generalized asymptotically quasi-\(\phi\)-nonexpansive mappings and bifunctions are investigated based on a monotone projection algorithm in this article. Strong convergence of the algorithm is obtained in the framework of Banach spaces.

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Keywords

• Quasi-\(\phi\)-nonexpansive mapping
• equilibrium problem
• fixed point
• projection
• variational inequality.

MSC

•  47H10
•  90C33

References

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