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 literature.

Keywords


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

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