A new Generalization of $\alpha$-Type Almost-$F$-Contractions and $\alpha$-Type $F$-Suzuki Contractions In Metric Spaces and Their Fixed Point Theorems

A. Taheri, A. P. Farajzadeh

Abstract


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 literatur.

Keywords


$\alpha$-type almost-$F$-contraction, $\alpha$-type $F$-Suzuki contraction

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