The main aim of this paper is omitting some superfluous assumptions in the definition of the class of functions \Theta, by means of which were defined and studied various classes of \theta-contractions, and still obtaining the uniqueness of the fixed point for this new type of contractive mappings. Several generalizations of continuous \theta-contractions are presented along with their applications to the study of integral equations.

 

 

Additional Information

Author(s)

 Karapinar, Erdal, Petruşel, Adrian, Cvetković, Marija

DOI

https://doi.org/10.37193/CJM.2024.03.16