Iterative computation of fixed points of quasi-asymptotic pseudo-contractions

Volume 9, Issue 6, pp 4580--4588 http://dx.doi.org/10.22436/jnsa.009.06.96

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Authors

Yonghong Yao - Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, P. R. China. Xiaoxue Zheng - Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, P. R. China. Limin Leng - Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, P. R. China. Yeong-Cheng Liou - Department of Healthcare Administration and Medical Informatics, Kaohsiung Medical University, Kaohsiung 80708, Kaohsiung 80708, Taiwan.

Abstract

An iterative algorithm is presented to find the fixed points of a quasi-asymptotic pseudo-contraction in Hilbert spaces. It is shown that the proposed algorithm converges strongly to the fixed point of a quasiasymptotic pseudo-contraction.

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Keywords

• Quasi-asymptotic pseudo-contraction
• fixed point
• iterative algorithm
• Hilbert spaces.

MSC

•  47H05
•  47J25

References

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