On some F - contraction of Piri–Kumam–Dung–type mappings in metric spaces
Introduction/purpose: This paper establishes some new results of Piri– Kumam–Dung-type mappings in a complete metric space.Тhe goal was to improve the already published results. Methods: Using the property of a strictly increasing function as well as the known Lemma formulated in (Radenović et a...
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| Main Authors: | , |
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| Format: | article |
| Language: | EN |
| Published: |
University of Defence in Belgrade
2020
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| Subjects: | |
| Online Access: | https://doaj.org/article/f6e3c33fba6c4f92b73cc079d167a6c9 |
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| Summary: | Introduction/purpose: This paper establishes some new results of Piri–
Kumam–Dung-type mappings in a complete metric space.Тhe goal was to
improve the already published results.
Methods: Using the property of a strictly increasing function as well as the
known Lemma formulated in (Radenović et al, 2017), the authors have
proved that a Picard sequence is a Cauchy sequence.
Results: New results were obtained concerning the F – contraction
mappings of
S
in a complete metric space. To prove it, the authors used
only property (W1).
Conclusion:The authors believe that the obtained results represent a
significant improvement of many known results in the existing literature.
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