On Nonlinear Set-Valued $$\theta $$θ-Contractions

Fixed Point Theorems for Set-ValuedL-Contractions in Branciari Distance Spaces

“…Also, Ahmad et al [21] extended the result of Jleli and Samet [19] to metric spaces by using conditions (θ1), (θ2), and (θ4). Durmaz and Altun [22] obtained a generalization of the result of Klim and Wardowski [23] by defining the concept of set-valued θ-contractions with control function θ satisfying (θ1), (θ2), (θ3), and (θ6). Abdeljawad et al [17] introduced the concept of extended Branciari b-distance, and they extended the result of Jleli and Samet [19] to extended Branciari b-distance spaces with control function θ satisfying (θ2) and (θ3).…”

The influence of theta-function to the class of MWP operators

“…Thus, every θ-contraction mapping on a metric space is continuous. Afterwards, many researches were conducted on a variety of generalizations, extensions and applications of the result of Jleli and Samet (See [4,5,6,10,15]). Hançer et al [10] also extended the concept of θ-contraction to multivalued case.…”