A three step iterative algorithm for common solutions of quasi-variational inclusions and fixed point problems of pseudocontractions

Volume 9, Issue 12, pp 6244--6259 http://dx.doi.org/10.22436/jnsa.009.12.28

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Authors

Hui-Ying Hu - Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China. Jin-Zuo Chen - Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China.

Abstract

In this paper, quasi-variational inclusions and fixed point problems of pseudocontractions are investigated based on a three step iterative process. Some convergence theorems are established in framework of Hilbert spaces. Several special cases are also discussed. The results presented in this paper extend and improve the corresponding results announced by many other authors.

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Keywords

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

MSC

•  47H05
•  47H09
•  47H10
•  47J20

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