Strong convergence of an implicit iteration process for a finite family of strictly asymptotically pseudocontractive mappings

Gurucharan Singh Saluja; Hemant Kumar Nashine

doi:10.4067/S0719-06462011000100009

Strong convergence of an implicit iteration process for a finite family of strictly asymptotically pseudocontractive mappings

Gurucharan Singh Saluja saluja_1963@rediffmail.com
Hemant Kumar Nashine hnashine@rediffmail.com

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DOI:

https://doi.org/10.4067/S0719-06462011000100009

Abstract

In this paper, we establish the strong convergence theorems for a finite family of k-strictly asymptotically pseudo-contractive mappings in the framework of Hilbert spaces. Our results improve and extend the corresponding results of Liu [5] and many others.

Keywords

Strictly asymptotically pseudo-contractive mapping , implicit iteration scheme , common fixed point , strong convergence , Hilbert space

Gurucharan Singh Saluja Department of Mathematics & Information Technology, Govt. Nagarjuna P.G. College of Science, Raipur (C.G.), India.
Hemant Kumar Nashine Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg Mandir Hasaud, Raipur-492101(Chhattisgarh), India.

Pages: 137–147
Date Published: 2011-03-01
Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal

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Published

2011-03-01

How to Cite

[1]

G. Singh Saluja and H. Kumar Nashine, “Strong convergence of an implicit iteration process for a finite family of strictly asymptotically pseudocontractive mappings”, CUBO, vol. 13, no. 1, pp. 137–147, Mar. 2011.