Viscosity splitting methods for variational inclusion and fixed point problems in Hilbert spaces

Volume 9, Issue 5, pp 2789--2797 http://dx.doi.org/10.22436/jnsa.009.05.74

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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. Sun Young Cho - Department of Mathematics, Gyeongsang National University, Jinju 660-701, Korea.

Abstract

In this paper, a viscosity splitting method is investigated for treating variational inclusion and fixed point problems. Strong convergence theorems of common solutions are established in the framework of Hilbert spaces. Applications are also provided to support the main results.

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Keywords

• Convex feasibility problem
• iterative process
• monotone operator
• fixed point
• splitting algorithm.

MSC

•  47H05
•  47H09

References

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