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Zbl 1174.47363
Păcurar, Mădălina
Sequences of almost contractions and fixed points.
(English)
[J] Carpathian J. Math. 24, No. 2, 101-109 (2008). ISSN 1584-2851; ISSN 1843-4401/e

Summary: Generalizations of two theorems due to Nadler regarding the fixed points of a sequence of operators converging to an $\alpha$-contraction are given, by considering sequences converging to an almost contraction. Corollaries for several known types of contractive operators are obtained.
MSC 2000:
*47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: sequence of operators; fixed point; uniform convergence; pointwise convergence; $(\delta,L)$-almost contraction

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