MMN-4435
Some fixed point results for generalized modified F_α-contractions in modular metric spaces and its applications
Hami Gündoǧdu; Mahpeyker Öztürk; Ömer Faruk Gözükızıl;Abstract
This paper introduces new generalizations of modified $F$-contractions by $\alpha$-admissible mappings. This study expands the fixed point results of modified $F$-contractions for metric spaces into modular metric spaces. We put forward some theorems for the existence of solutions and also give a condition that assures the uniqueness of a solution. These theorems are applied to some given mappings to verify the results. Furthermore, we come up with some significant results. These results provide the existence of a subsequent integral equation in a general form. Finally, a specific example of an integral equation is considered.
Vol. 26 (2025), No. 1, pp. 243-260