On discontinuity at fixed point via power quasi contraction

Ravindra Kishor Bisht, Narendra K Singh, Vladimir Rakočević, Brian Fisher

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.