A general iterative algorithm for common solutions of quasi variational inclusion and fixed point problems

Volume 9, Issue 6, pp 4137--4147 http://dx.doi.org/10.22436/jnsa.009.06.57

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Authors

Xiangsong Meng - Department of Economic Management, North China Electric Power University, Baoding 071003, China. Sun Young Cho - Department of Mathematics, Gyeongsang National University, Jinju 660-701, Korea. Xiaolong Qin - Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Sichuan 610054, China.

Abstract

In this paper, quasi-variational inclusion and fixed point problems are investigated based on a general iterative process. Strong convergence theorems are established in the framework of Hilbert spaces.

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Keywords

• Monotone operator
• quasi-variational inclusion
• nonexpansive mapping
• convex optimization
• Hilbert space.

MSC

•  47H05
•  90C33

References

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