1. ON SOME F – CONTRACTION OF PIRI–KUMAM–DUNG–TYPE MAPPINGS IN METRIC SPACES.
- Author
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Vujaković, Jelena Z. and Radenović, Stojan N.
- Subjects
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METRIC spaces , *CONTRACTIONS (Topology) , *CAUCHY sequences , *FIXED point theory - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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