A new generalization of $\alpha$-type almost-$F$-contractions and $\alpha$-type $F$-Suzuki contractions in metric spaces and their fixed point theorems
In this paper a new generalization of $\alpha$-type almost-$F$-contractions and an extension of $\alpha$-type $F$-Suzuki contractions are given. Moreover, some new fixed point theorems of them are discussed. Some examples and applications in order to illustrate the main results are presented. The re...
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Vasyl Stefanyk Precarpathian National University
2019-12-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
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| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/2125 |
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doaj-c33a07f1a4b9486d9e59db387a6a8d8c2020-11-25T03:14:55ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102019-12-0111247549210.15330/cmp.11.2.475-4922125A new generalization of $\alpha$-type almost-$F$-contractions and $\alpha$-type $F$-Suzuki contractions in metric spaces and their fixed point theoremsA. Taheri0A.P. Farajzadeh1Department of Mathematics, Science and Research Branch, Islamic Azad University, 14515-775, Tehran, IranDepartment of Mathematics, Razi University, 67149, Kermanshah, IranIn this paper a new generalization of $\alpha$-type almost-$F$-contractions and an extension of $\alpha$-type $F$-Suzuki contractions are given. Moreover, some new fixed point theorems of them are discussed. Some examples and applications in order to illustrate the main results are presented. The results of this article can be considered as improvements of some well-known results appeared in the literature.https://journals.pnu.edu.ua/index.php/cmp/article/view/2125$\alpha$-type almost-$f$-contraction$\alpha$-type $f$-suzuki contraction |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. Taheri A.P. Farajzadeh |
| spellingShingle |
A. Taheri A.P. Farajzadeh A new generalization of $\alpha$-type almost-$F$-contractions and $\alpha$-type $F$-Suzuki contractions in metric spaces and their fixed point theorems Karpatsʹkì Matematičnì Publìkacìï $\alpha$-type almost-$f$-contraction $\alpha$-type $f$-suzuki contraction |
| author_facet |
A. Taheri A.P. Farajzadeh |
| author_sort |
A. Taheri |
| title |
A new generalization of $\alpha$-type almost-$F$-contractions and $\alpha$-type $F$-Suzuki contractions in metric spaces and their fixed point theorems |
| title_short |
A new generalization of $\alpha$-type almost-$F$-contractions and $\alpha$-type $F$-Suzuki contractions in metric spaces and their fixed point theorems |
| title_full |
A new generalization of $\alpha$-type almost-$F$-contractions and $\alpha$-type $F$-Suzuki contractions in metric spaces and their fixed point theorems |
| title_fullStr |
A new generalization of $\alpha$-type almost-$F$-contractions and $\alpha$-type $F$-Suzuki contractions in metric spaces and their fixed point theorems |
| title_full_unstemmed |
A new generalization of $\alpha$-type almost-$F$-contractions and $\alpha$-type $F$-Suzuki contractions in metric spaces and their fixed point theorems |
| title_sort |
new generalization of $\alpha$-type almost-$f$-contractions and $\alpha$-type $f$-suzuki contractions in metric spaces and their fixed point theorems |
| publisher |
Vasyl Stefanyk Precarpathian National University |
| series |
Karpatsʹkì Matematičnì Publìkacìï |
| issn |
2075-9827 2313-0210 |
| publishDate |
2019-12-01 |
| description |
In this paper a new generalization of $\alpha$-type almost-$F$-contractions and an extension of $\alpha$-type $F$-Suzuki contractions are given. Moreover, some new fixed point theorems of them are discussed. Some examples and applications in order to illustrate the main results are presented. The results of this article can be considered as improvements of some well-known results appeared in the literature. |
| topic |
$\alpha$-type almost-$f$-contraction $\alpha$-type $f$-suzuki contraction |
| url |
https://journals.pnu.edu.ua/index.php/cmp/article/view/2125 |
| work_keys_str_mv |
AT ataheri anewgeneralizationofalphatypealmostfcontractionsandalphatypefsuzukicontractionsinmetricspacesandtheirfixedpointtheorems AT apfarajzadeh anewgeneralizationofalphatypealmostfcontractionsandalphatypefsuzukicontractionsinmetricspacesandtheirfixedpointtheorems AT ataheri newgeneralizationofalphatypealmostfcontractionsandalphatypefsuzukicontractionsinmetricspacesandtheirfixedpointtheorems AT apfarajzadeh newgeneralizationofalphatypealmostfcontractionsandalphatypefsuzukicontractionsinmetricspacesandtheirfixedpointtheorems |
| _version_ |
1724641606712164352 |