Abstract
References
- Alam, A., Sk, F., & Khan, H. Q. (2022) Discussion on generalized nonlinear contractions. U.P.B. Sci. Bull. Series A, 84(2), 23-34.
- Chen, GX., Jabeen, S., Rehman, S.U., Kanwal, A., Abbas, F., Ullah, H., & Khalil, A. M. (2020). Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations. Advances in Difference Equations, 671. https://doi.org/10.1186/s13662-020-03132-8
- Dutta, P. N., & Choudhury, B. S. (2008). A generalization of contraction principle in metric spaces, Fixed Point Theory Applications, 2008(1), 1-8.
- George, A., & Veeramani, P. (1994). On some results in fuzzy metric spaces. Fuzzy Sets and Systems, 64(3), 395-399.
Abstract
The study of Fixed Point Theory in various metric space has been on focus of scientific development for many authors. It has been advanced either by generalizing the contractive inequality or by extending the conditions of metric. Fuzzy metric space has been defined as space in which the distance between elements is not an exact number in difference with metric space. Fixed point Theory is an important framework point of view in fuzzy metric spaces. Many studies have been showed the existence and uniqueness of a fixed point for different type of contractions in these spaces. Nonlinear contractions and their generalizations have been under investigations in several metric spaces. The aim of this paper is the study of fixed points for generalized nonlinear contractions in fuzzy metric space. Our results guarantee the existence and uniqueness of a fixed point for these contractions and extend some known theorems in metric space to fuzzy metric space. As an application of main theorem an example is taken.
References
- Alam, A., Sk, F., & Khan, H. Q. (2022) Discussion on generalized nonlinear contractions. U.P.B. Sci. Bull. Series A, 84(2), 23-34.
- Chen, GX., Jabeen, S., Rehman, S.U., Kanwal, A., Abbas, F., Ullah, H., & Khalil, A. M. (2020). Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations. Advances in Difference Equations, 671. https://doi.org/10.1186/s13662-020-03132-8
- Dutta, P. N., & Choudhury, B. S. (2008). A generalization of contraction principle in metric spaces, Fixed Point Theory Applications, 2008(1), 1-8.
- George, A., & Veeramani, P. (1994). On some results in fuzzy metric spaces. Fuzzy Sets and Systems, 64(3), 395-399.
Details
| Primary Language | English |
|---|---|
| Subjects | Statistics (Other) |
| Journal Section | Articles |
| Authors | |
| Early Pub Date | December 14, 2023 |
| Publication Date | December 1, 2023 |
| Published in Issue | Year 2023Volume: 25 |
