On Some New Jungck-Fisher-Wardowski Type Fixed Point Results
Апстракт
Many authors used the concept of F-contraction introduced by Wardowski in 2012 in order to define and prove new results on fixed points in complete metric spaces. In some later papers (for example Proinov P.D., J. Fixed Point Theory Appl. (2020)22:21, doi:10.1007/s11784-020-0756-1) it is shown that conditions (F2) and (F3) are not necessary to prove Wardowski's results. In this article we use a new approach in proving that the Picard-Jungck sequence is a Cauchy one. It helps us obtain new Jungck-Fisher-Wardowski type results using Wardowski's condition (F1) only, but in a way that differs from the previous approaches. Along with that, we came to several new contractive conditions not known in the fixed point theory so far. With the new results presented in the article, we generalize, extend, unify and enrich methods presented in the literature that we cite.
Кључне речи:
weakly compatible / Wardowski-type contractions / Fisher fixed point theorem / compatible / common fixed point / banach contraction principleИзвор:
Symmetry, 2020, 12, 12Издавач:
- MDPI, Basel
DOI: 10.3390/sym12122048
ISSN: 2073-8994
WoS: 000602453700001
Scopus: 2-s2.0-85097839685
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Vujaković, Jelena AU - Ljajko, Eugen AU - Radojević, Slobodan AU - Radenović, Stojan PY - 2020 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3366 AB - Many authors used the concept of F-contraction introduced by Wardowski in 2012 in order to define and prove new results on fixed points in complete metric spaces. In some later papers (for example Proinov P.D., J. Fixed Point Theory Appl. (2020)22:21, doi:10.1007/s11784-020-0756-1) it is shown that conditions (F2) and (F3) are not necessary to prove Wardowski's results. In this article we use a new approach in proving that the Picard-Jungck sequence is a Cauchy one. It helps us obtain new Jungck-Fisher-Wardowski type results using Wardowski's condition (F1) only, but in a way that differs from the previous approaches. Along with that, we came to several new contractive conditions not known in the fixed point theory so far. With the new results presented in the article, we generalize, extend, unify and enrich methods presented in the literature that we cite. PB - MDPI, Basel T2 - Symmetry T1 - On Some New Jungck-Fisher-Wardowski Type Fixed Point Results IS - 12 VL - 12 DO - 10.3390/sym12122048 ER -
@article{ author = "Vujaković, Jelena and Ljajko, Eugen and Radojević, Slobodan and Radenović, Stojan", year = "2020", abstract = "Many authors used the concept of F-contraction introduced by Wardowski in 2012 in order to define and prove new results on fixed points in complete metric spaces. In some later papers (for example Proinov P.D., J. Fixed Point Theory Appl. (2020)22:21, doi:10.1007/s11784-020-0756-1) it is shown that conditions (F2) and (F3) are not necessary to prove Wardowski's results. In this article we use a new approach in proving that the Picard-Jungck sequence is a Cauchy one. It helps us obtain new Jungck-Fisher-Wardowski type results using Wardowski's condition (F1) only, but in a way that differs from the previous approaches. Along with that, we came to several new contractive conditions not known in the fixed point theory so far. With the new results presented in the article, we generalize, extend, unify and enrich methods presented in the literature that we cite.", publisher = "MDPI, Basel", journal = "Symmetry", title = "On Some New Jungck-Fisher-Wardowski Type Fixed Point Results", number = "12", volume = "12", doi = "10.3390/sym12122048" }
Vujaković, J., Ljajko, E., Radojević, S.,& Radenović, S.. (2020). On Some New Jungck-Fisher-Wardowski Type Fixed Point Results. in Symmetry MDPI, Basel., 12(12). https://doi.org/10.3390/sym12122048
Vujaković J, Ljajko E, Radojević S, Radenović S. On Some New Jungck-Fisher-Wardowski Type Fixed Point Results. in Symmetry. 2020;12(12). doi:10.3390/sym12122048 .
Vujaković, Jelena, Ljajko, Eugen, Radojević, Slobodan, Radenović, Stojan, "On Some New Jungck-Fisher-Wardowski Type Fixed Point Results" in Symmetry, 12, no. 12 (2020), https://doi.org/10.3390/sym12122048 . .