A unified framework for the two-sets split common fixed point problem in Hilbert spaces

Volume 9, Issue 12, pp 6113--6125 http://dx.doi.org/10.22436/jnsa.009.12.17

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Authors

Yonghong Yao - Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China. Limin Leng - Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China. Mihai Postolache - China Medical University, No.91, Hsueh-Shih Road, Taichung, Taiwan. - Department of Mathematics and Informatics, University "Politehnica" of Bucharest, Splaiul Independentei 313, Bucharest 060042, Romania. Xiaoxue Zheng - Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China.

Abstract

The two-sets split common fixed point problem of two uniformly Lipschitzian asymptotically pseudocontractive operators is considered. A unified framework for the study of this class of problems and class of operators is provided. An iterative algorithm is constructed and strong convergence analysis is given.

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Keywords

• Split common fixed point
• asymptotically pseudocontractive operators
• strong convergence
• Hilbert spaces.

MSC

•  47J25
•  47H09
•  65J15
•  90C25

References

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