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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University of Defence in Belgrade
2020
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oai:doaj.org-article:f6e3c33fba6c4f92b73cc079d167a6c92021-12-02T12:33:10ZOn some F - contraction of Piri–Kumam–Dung–type mappings in metric spaces10.5937/vojtehg68-273850042-84692217-4753https://doaj.org/article/f6e3c33fba6c4f92b73cc079d167a6c92020-10-01T00:00:00Zhttps://scindeks-clanci.ceon.rs/data/pdf/0042-8469/2020/0042-84692004697V.pdfhttps://doaj.org/toc/0042-8469https://doaj.org/toc/2217-4753Introduction/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. Jelena Z.VujakovićStojan N. RadenovićUniversity of Defence in Belgradearticlebanach principlef–contractive mappingmetric spacefixed pointMilitary ScienceUEngineering (General). Civil engineering (General)TA1-2040ENVojnotehnički Glasnik, Vol 68, Iss 4, Pp 697-714 (2020) |
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banach principle f–contractive mapping metric space fixed point Military Science U Engineering (General). Civil engineering (General) TA1-2040 |
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banach principle f–contractive mapping metric space fixed point Military Science U Engineering (General). Civil engineering (General) TA1-2040 Jelena Z.Vujaković Stojan N. Radenović On some F - contraction of Piri–Kumam–Dung–type mappings in metric spaces |
description |
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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format |
article |
author |
Jelena Z.Vujaković Stojan N. Radenović |
author_facet |
Jelena Z.Vujaković Stojan N. Radenović |
author_sort |
Jelena Z.Vujaković |
title |
On some F - contraction of Piri–Kumam–Dung–type mappings in metric spaces |
title_short |
On some F - contraction of Piri–Kumam–Dung–type mappings in metric spaces |
title_full |
On some F - contraction of Piri–Kumam–Dung–type mappings in metric spaces |
title_fullStr |
On some F - contraction of Piri–Kumam–Dung–type mappings in metric spaces |
title_full_unstemmed |
On some F - contraction of Piri–Kumam–Dung–type mappings in metric spaces |
title_sort |
on some f - contraction of piri–kumam–dung–type mappings in metric spaces |
publisher |
University of Defence in Belgrade |
publishDate |
2020 |
url |
https://doaj.org/article/f6e3c33fba6c4f92b73cc079d167a6c9 |
work_keys_str_mv |
AT jelenazvujakovic onsomefcontractionofpirikumamdungtypemappingsinmetricspaces AT stojannradenovic onsomefcontractionofpirikumamdungtypemappingsinmetricspaces |
_version_ |
1718393895690174464 |