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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Autores principales: Jelena Z.Vujaković, Stojan N. Radenović
Formato: article
Lenguaje:EN
Publicado: University of Defence in Belgrade 2020
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Acceso en línea:https://doaj.org/article/f6e3c33fba6c4f92b73cc079d167a6c9
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Sumario: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.