On discontinuity at fixed point via power quasi contraction

Ravindra Bisht, Narendra Singh, Vladimir Rakocevic, Brian Fisher
2020 Publications de l'Institut Mathématique (Beograd)  
We extend the scope of the study of fixed point theorems of power quasi contractions from the class of continuous mappings to a wider class of mappings which also include discontinuous mappings. As a by-product, we provide a new answer to an open problem posed by Rhoades.
doi:10.2298/pim2022005b fatcat:xcxgcuysfbbwfeq2dbyoaxwh2i