In this paper, we introduce some new types of extended Geraghty contractions, called (?,?)-admissible generalized F-contractions, and prove fixed point results for such contractions in the setting partial b-metric spaces. Moreover, based on obtained property symmetry, inaugurate a result graphic F-contractions defined metric spaces endowed with directed graph. As an application, examine existen...

In this paper, we investigate the general solution and the generalized Hyers-Ulam stability of a new functional equation satisfied by $f(x) = x^{24}$, which is called quattuorvigintic functional equation in intuitionistic fuzzy normed spaces by using the fixed point method.These results can be regarded as an important extension of stability results corresponding to functional equations on norme...