A Fixed Point Theorem for Generalized F-Contractions on Complete Metric Spaces

Fixed point results concerning α-F-contraction mappings in metric spaces

“…Our results generalize several fixed point results in the existing literature. For instance, taking α(x, y) = 1, we can obtain the main results of Piri and Kumam [13] and Dung and Hang [6] as a corollary of our main results. Most importantly, our results are the generalized versions of the fixed point results given by Gopal et al [8].…”

“…(2) There exists a k ∈ (0, 1) such that lim α→0 + α k F (α) = 0. Using the notions of modified generalized F -contraction of type (A) and type (B), the authors presented some new fixed point results which generalized and extended several related results discussed in Wardowski [19], Piri and Kumam [12], Dung and Hang [6] and Wardowski and Dung [20].…”

“…In 2012, Wardowski [19] introduced the concept of F -contractions which plays a crucial part in the recent trend of research in fixed point theory. After that, Wardowski and Dung [20] and Dung and Hang [6] extended the concept of F -contractions to F -weak contractions and generalized F -contractions respectively.…”

Fixed Point Theorems for Generalized F-Contractions and Generalized F-Suzuki-Contractions in Complete Dislocated Sb-Metric Spaces

“…On the other hand, Wardowski [12] introduced a new contraction, the so-called F -contraction, and obtained a fixed point result as a generalization of the Banach contraction principle. Thereafter, Dung and Hang [3] studied the notion of a generalized F -contraction and established certain fixed point theorems for such mappings. Recently, Piri and Kumam [6] extended the fixed point results of [12] by introducing a generalized F -Suzuki-contraction in b-metric spaces.…”

F-contraction on asymmetric metric spaces

“…This result have become of recent interest of many authors (see [3,4,10,12,13,15] and references therein).…”