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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Bibliographic Details
Main Authors: A. Taheri, A.P. Farajzadeh
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2019-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/2125
Description
Summary: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.
ISSN:2075-9827
2313-0210