Abstract
AbstractThe purpose of this manuscript is to obtain some fixed point results in generalized controlled fuzzy metric spaces. Our results generalize and extend many of the previous findings in the same approach. Moreover, two examples to support our theorems are obtained. Finally, to examine and strengthen the theoretical results, the existence and uniqueness of the solution to a nonlinear integral equation is studied as a kind of application.
Publisher
Springer Science and Business Media LLC
Reference27 articles.
1. Frechet, M.: Sur quelques points du calcul fonctionnel. Rend. Circ. Mat. Palermo 22(1), 1–74 (1906)
2. Banach, S.: Sur les operations dans les ensembles abstraits et leur application aux equations intégrales. Fundam. Math. 3(1), 133–181 (1922)
3. Jleli, M., Samet, B.: A generalized metric space and related fixed point theorems. Fixed Point Theory Appl. 2015(1), 61 (2015)
4. Kramosil, I., Michalek, J.: Fuzzy metric and statistical metric spaces. Kybernetika 11, 336–344 (1975)
5. Shen, Y., Qiu, D., Chen, W.: Fixed point theorems in fuzzy metric spaces. Appl. Math. Lett. 25(2), 138–141 (2012)