A Note on A Rational Form Contractions With Discontinuities at Fixed Points
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Date
2020
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House Book Science-casa Cartii Stiinta
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Abstract
In this paper, we investigate one of the classical problems of the metric fixed point theory: Whether there is a contraction condition which does not force the mapping to be continuous at the fixed point. We propose a contraction conditions in rational form that has a unique fixed point but not necessarily continuous at the given fixed point.
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KARAPINAR, ERDAL/0000-0002-6798-3254
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Discontinuity, fixed point theorems, metric space
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Volume
21
Issue
1
Start Page
211
End Page
220