Regularization iterative algorithms for monotone and strictly pseudocontractive mappings

Volume 9, Issue 6, pp 3909--3919 http://dx.doi.org/10.22436/jnsa.009.06.38

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Authors

Sun Young Cho - Department of Mathematics, Gyeongsang National University, Jinju, South Korea. Abdul Latif - Department of Mathematics, King Abdulaziz University, Jeddah,, Saudi Arabia. Xiaolong Qin - Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Sichuan, P. R. China.

Abstract

In this article, the sum of a monotone mapping, an inverse strongly monotone mapping, and a strictly pseudocontractive mapping are investigated based on two regularization iterative algorithms. Strong convergence analysis of the two iterative algorithms is obtained in the framework of real Hilbert spaces.

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Keywords

• Monotone mapping
• iterative algorithm
• zero point
• variational inclusion
• resolvent technique.

MSC

•  47H05
•  90C10

References

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