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Zbl 1173.65037
Argyros, Ioannis K.; Cho, Yeol Je; Qin, Xiaolong
On the implicit iterative process for strictly pseudo-contractive mappings in Banach spaces. (English)
[J] J. Comput. Appl. Math. 233, No. 2, 208-216 (2009). ISSN 0377-0427

Summary: We consider a composite implicit iterative process for an infinite family of strictly pseudo-contractive mappings. Strong convergence theorems are established in an arbitrary real Banach space. The results presented in this paper improve and extend the recent ones announced by many others.

MSC 2000:: *65J15 Equations with nonlinear operators (numerical methods)
47J25 Methods for solving nonlinear operator equations (general)
47H09 Mappings defined by "shrinking" properties
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: strictly pseudo-contractive mapping; non-expansive mapping; common fixed point; Banach space; convergence

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