The Journal of the Indian Mathematical Society

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Ran-Reurings Theorems in Ordered Metric Spaces


Affiliations
1 “A. Myller” Mathematical Seminar, “A. I. Cuza” University, 700506 Iasi, Romania
     

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The Ran-Reurings xed point theorem [Proc. Amer. Math. Soc., 132 (2004), 1435-1443] is but a particular case of Maia's [Rend. Sem. Mat. Univ. Padova, 40 (1968), 139-143]. A "functional" version of this last result is then provided, in a convergence setting.

Keywords

Ordered Metric Space, Contraction, Fixed Point, Convergence.
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  • Ran-Reurings Theorems in Ordered Metric Spaces

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Authors

Mihai Turinici
“A. Myller” Mathematical Seminar, “A. I. Cuza” University, 700506 Iasi, Romania

Abstract


The Ran-Reurings xed point theorem [Proc. Amer. Math. Soc., 132 (2004), 1435-1443] is but a particular case of Maia's [Rend. Sem. Mat. Univ. Padova, 40 (1968), 139-143]. A "functional" version of this last result is then provided, in a convergence setting.

Keywords


Ordered Metric Space, Contraction, Fixed Point, Convergence.