Open AccessA new generalization of $\alpha$-type almost-$F$-contractions and $\alpha$-type $F$-Suzuki contractions in metric spaces and their fixed point theorems
Author(s) -
Ali Taheri,
Ali Farajzadeh
Publication year - 2019
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.11.2.475-492
Subject(s) - mathematics , generalization , alpha (finance) , type (biology) , metric space , fixed point theorem , fixed point , order (exchange) , extension (predicate logic) , discrete mathematics , pure mathematics , mathematical analysis , computer science , statistics , ecology , construct validity , finance , economics , biology , programming language , psychometrics
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.