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Zbl 1249.54085
Păcurar, Mădălina
Approximating common fixed points of Presić-Kannan type operators by a multi-step iterative method.
(English)
[J] An. Ştiinţ. Univ. ``Ovidius" Constanţa, Ser. Mat. 17, No. 1, 153-168 (2009). ISSN 1223-723X; ISSN 1224-1784/e

Summary: The existence of coincidence points and common fixed points for operators satisfying a Presić-Kannan type contraction condition in a metric spaces setting is proved. A multi-step iterative method for constructing the common fixed points is also provided.
MSC 2000:
*54H25 Fixed-point theorems in topological spaces
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: coincidence point; common fixed point approximation; multi-step iteration procedure; Presić-Kannan-type operator

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Scientific prize winners of the ICM 2010
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