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Original scientific paper

Approximation to minimum-norm common fixed point of a semigroup of nonexpansive operators

Yuchao Tang ; Department of Mathematics, NanChang University, P. R. China
Yong Cai ; Department of Mathematics, NanChang University, P. R. China
Liwei Liu ; Department of Mathematics, NanChang University, P. R. China

Fulltext: english, pdf (337 KB) pages 87-96 downloads: 442* cite
APA 6th Edition
Tang, Y., Cai, Y. & Liu, L. (2013). Approximation to minimum-norm common fixed point of a semigroup of nonexpansive operators. Mathematical Communications, 18 (1), 87-96. Retrieved from https://hrcak.srce.hr/101402
MLA 8th Edition
Tang, Yuchao, et al. "Approximation to minimum-norm common fixed point of a semigroup of nonexpansive operators." Mathematical Communications, vol. 18, no. 1, 2013, pp. 87-96. https://hrcak.srce.hr/101402. Accessed 29 Mar. 2020.
Chicago 17th Edition
Tang, Yuchao, Yong Cai and Liwei Liu. "Approximation to minimum-norm common fixed point of a semigroup of nonexpansive operators." Mathematical Communications 18, no. 1 (2013): 87-96. https://hrcak.srce.hr/101402
Harvard
Tang, Y., Cai, Y., and Liu, L. (2013). 'Approximation to minimum-norm common fixed point of a semigroup of nonexpansive operators', Mathematical Communications, 18(1), pp. 87-96. Available at: https://hrcak.srce.hr/101402 (Accessed 29 March 2020)
Vancouver
Tang Y, Cai Y, Liu L. Approximation to minimum-norm common fixed point of a semigroup of nonexpansive operators. Mathematical Communications [Internet]. 2013 [cited 2020 March 29];18(1):87-96. Available from: https://hrcak.srce.hr/101402
IEEE
Y. Tang, Y. Cai and L. Liu, "Approximation to minimum-norm common fixed point of a semigroup of nonexpansive operators", Mathematical Communications, vol.18, no. 1, pp. 87-96, 2013. [Online]. Available: https://hrcak.srce.hr/101402. [Accessed: 29 March 2020]

Abstracts
The purpose of this paper is to introduce a new iterative algorithm for a semi-group of nonexpansive operators in Hilbert space. We prove that the proposed iterative algorithm converges strongly to the minimum-norm common fixed point of the semigroup
of nonexpansive operators. The results of this paper extend and improve some known results in the literature.

Keywords
common fixed point; minimum-norm; semigroup; nonexpansive operators

Hrčak ID: 101402

URI
https://hrcak.srce.hr/101402

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