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Generalized contractions in partially ordered metric spaces

Ravi P. Agarwal, M. El-Gebeily, Donal O’Regan

Applicable Analysis · 2008 · 563 citations · 3 references

DOI

Concepts

Abstract

We present some fixed point results for monotone operators in a metric space endowed with a partial order using a weak generalized contraction-type assumption.

References

3

A fixed point theorem in partially ordered sets and some applications to matrix equations

André C. M. Ran, Martine Reurings · Proceedings of the American Mathematical Society · 2003 · 1.4K citations · Full text

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Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations

Juan J. Nieto, Rosana Rodríguez‐López · Order · 2005 · 1.3K citations

, , +13

Random and deterministic fixed point theory for generalized contractive maps

Ravi P. Agarwal, Donal O’Regan, M. Sambandham · Applicable Analysis · 2004 · 18 citations

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