The main concern of this study is to present a generalization of Banach's fixed point theorem in some classes of modular spaces, where the modular is convex and satisfying the $\Delta _{2}$-condition. In this work, the existence and uniqueness of fixed point for $(\alpha ,\beta )-(\psi ,\varphi )-$ contractive mapping and $\alpha -\beta -\psi -$weak rational contraction in modular spaces are proved. Some examples are supplied to support the usability of our results. As an application, the existence of a solution for an integral equation of Lipschitz type in a Musielak-Orlicz space is presented.
Modular space Cyclic $(\alpha ;\beta )$-admissible mapping $(\alpha ;\beta )-(\psi ;\phi )$-contractive mapping
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 28 Haziran 2019 |
Gönderilme Tarihi | 23 Mart 2019 |
Kabul Tarihi | 3 Mayıs 2019 |
Yayımlandığı Sayı | Yıl 2019 Cilt: 2 Sayı: 2 |
Universal Journal of Mathematics and Applications
The published articles in UJMA are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.