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Zbl 1235.54054
Shatanawi, W.
Fixed point theorems for nonlinear weakly-contractive mappings in metric spaces.
(English)
[J] Math. Comput. Modelling 54, No. 11-12, 2816-2826 (2011). ISSN 0895-7177

Summary: The purpose of this paper is to present some fixed point and coupled fixed point theorems for a nonlinear weakly $C$-contraction type mapping in metric and ordered metric spaces. Also, an example is given to support our results. Our results generalize several well-known results from the current literature.
MSC 2000:
*54H25 Fixed-point theorems in topological spaces
54F05 Ordered topological spaces
54E40 Special maps on metric spaces

Keywords: common fixed point; generalized contractions; weakly $C$-contraction; ordered metric spaces

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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