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Zbl 1221.54058
Harjani, J.; Sadarangani, K.
Fixed point theorems for weakly contractive mappings in partially ordered sets.
(English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, A, 3403-3410 (2009). ISSN 0362-546X

Summary: The purpose of this paper is to present some fixed point theorems for weakly contractive maps in a complete metric space endowed with a partial order.
MSC 2000:
*54H25 Fixed-point theorems in topological spaces
54E50 Complete metric spaces
54F05 Ordered topological spaces

Keywords: fixed point; weakly contractive map; partially ordered set

Cited in: Zbl 1248.54030 Zbl 1226.54046

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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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