Remarks on F-weak contractions and discontinuity at the fixed point
Keywords:
F-contraction, F-weak contraction, F**-weak contraction, contractive mapping, fixed point theorem, discontinuity at the fi xed pointAbstract
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.
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