@article{article_780721, title={Remarks on F-weak contractions and discontinuity at the fixed point}, journal={Advances in the Theory of Nonlinear Analysis and its Application}, volume={4}, pages={260–265}, year={2020}, DOI={10.31197/atnaa.780721}, author={Bedre, Sachin}, keywords={F-contraction, F-weak contraction, F**-weak contraction, contractive mapping, fixed point theorem, discontinuity at the fixed point}, abstract={The aim of this paper is to generalize celebrated results due to Wardowski[8, 9] and also to provide yet new solutions to the once open problem[6, p.242] on the existence of a contractive mapping which possesses a fixed point but is not continuous at the fixed point via generalized F**-weak contractions. Finally, an example is given to illustrate our results. The aim of this paper is to generalize celebrated results due to Wardowski[8, 9] and also to provide yet new solutions to the once open problem[6, p.242] on the existence of a contractive mapping which possesses a fixed point but is not continuous at the fixed point via generalized F**-weak contractions. Finally, an example is given to illustrate our results.}, number={4}, publisher={Erdal KARAPINAR}