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Zbl 1045.47056
Osilike, M.O.
Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps. (English)
[J] J. Math. Anal. Appl. 294, No. 1, 73-81 (2004). ISSN 0022-247X

Summary: Convergence theorems for approximation of common fixed points of strictly pseudocontractive mappings of Browder-Petryshyn type are proved in Banach spaces using an implicit iteration scheme recently introduced by {\it H.-K. Xu} and {\it R. G. Ori} [Numer. Funct. Anal. Optimization 22, 767--773 (2001; Zbl 0999.47043)].

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

Keywords: strictly pseudocontractive maps; implicit iteration process; fixed points; Opial condition; demiclosedness principle

Citations: Zbl 0999.47043

Cited in: Zbl pre06090191 Zbl 1212.47067 Zbl 1199.47287 Zbl 1199.47305 Zbl 1184.47057 Zbl 1228.47064 Zbl 1223.47073 Zbl 1199.47298 Zbl 1158.47062 Zbl 1145.47055 Zbl 1164.47370 Zbl 1163.47054 Zbl 1153.47306 Zbl 1140.47325 Zbl 1125.47049 Zbl 1201.47067 Zbl 1148.47048 Zbl 1095.47045 Zbl 1086.47046

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