- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 4 Issue: 4
- Remarks on F-weak contractions and discontinuity at the fixed point
Remarks on F-weak contractions and discontinuity at the fixed point
Authors : Sachin Bedre
Pages : 260-265
Doi:10.31197/atnaa.780721
View : 5 | Download : 12
Publication Date : 2020-12-30
Article Type : Research
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.Keywords : F-contraction, F-weak contraction, F**-weak contraction, contractive mapping, fixed point theorem, discontinuity at the fi xed point