Abstract
In this article, we have established three different types of compatible mappings named w-compatible maps, w-compatible maps of type (α) and w-compatible maps of type (β)in modular A-metric space. Then, by using these definitions we examine the relations between them. The results in this article generalize many known results in the existing literature.
Keywords
w-compatible maps w-compatible maps of type alpha w-compatible maps of type beta Modular A-metric spaces
References
- Abbas, M., Ali, B. and Suleiman, Y.I., 2015. Generalized coupled common fixed point results in partially ordered A-metric spaces. Fixed Point Theory and Applications, 2015(1), 64.
- Aydin, E. and Kutukcu, S., 2017. Modular A-metric spaces. Journal of Science and Arts. 17(3), 423-432.
- Chistyakov, V.V., 2010. Modular metric spaces, I: Basic concepts. Nonlinear Analysis: Theory, Methods and Applications. 72(1), 1-14.
- Chistyakov, V.V., 2010. Modular metric spaces, II: Application to superposition operators. Nonlinear Analysis: Theory, Methods and Applications. 72(1), 15-30.
- Cho, Y.J., Pathak H.K., Kang S.M. and Jung J.S., 1998. Common fixed points of compatible maps of type (beta) on fuzzy metric spaces. Fuzzy Sets and Systems. 93(1), 99-111.
- Jungck, G., 1986. Compatible mappings and common fixed points. International Journal of Mathematics and Mathematical Sciences. 9(4), 771-779.
- Jungck, G., Murthy, P.P. and Cho, Y.J., 1993. Compatible mappings of type (A) and common fixed points. Mathematica Japonica. 38(2), 381–390.
- Kaplan, E, 2021. Modüler A-metrik uzaylar ve özellikleri, Doktora Tezi, Ondokuz Mayıs Üniversitesi Lisansüstü Eğitim Enstitüsü, Samsun, 84.
- Kutukcu, S. and Sharma, S., 2009. Compatible maps and common fixed points in Menger probabilistic metric spaces. Communications of the Korean Mathematical Society, 24(1), 17-27.
- Pathak, H.K., Cho, Y.J., Chang, S.S. and Kang S.M., 1996. Compatible mappings of type (P) and fixed point theorems in metric spaces and probabilistic metric spaces. Novi Sad Journal of Mathematics, 26(2), 87-109.
Abstract
Bu makalede, modüler A-metrik uzaylar üzerinde w-bağdaşabilir dönüşümler, (α) tip w-bağdaşabilir dönüşümler ve (β) tip w-bağdaşabilir dönüşümler olarak adlandırdığımız üç yeni tip bağdaşabilir dönüşüm tanımladık. Bu tanımları kullanarak aralarındaki ilişkileri araştırdık. Bu makalede elde edilen sonuçlar literatürde var olan ve iyi bilinen birçok sonucu genelleştirmesidir
Keywords
w-bağdaşabilir dönüşümler alfa tip w-bağdaşabilir dönüşümler beta tip w-bağdaşabilir dönüşümler Modüler A-metrik uzaylar
References
- Abbas, M., Ali, B. and Suleiman, Y.I., 2015. Generalized coupled common fixed point results in partially ordered A-metric spaces. Fixed Point Theory and Applications, 2015(1), 64.
- Aydin, E. and Kutukcu, S., 2017. Modular A-metric spaces. Journal of Science and Arts. 17(3), 423-432.
- Chistyakov, V.V., 2010. Modular metric spaces, I: Basic concepts. Nonlinear Analysis: Theory, Methods and Applications. 72(1), 1-14.
- Chistyakov, V.V., 2010. Modular metric spaces, II: Application to superposition operators. Nonlinear Analysis: Theory, Methods and Applications. 72(1), 15-30.
- Cho, Y.J., Pathak H.K., Kang S.M. and Jung J.S., 1998. Common fixed points of compatible maps of type (beta) on fuzzy metric spaces. Fuzzy Sets and Systems. 93(1), 99-111.
- Jungck, G., 1986. Compatible mappings and common fixed points. International Journal of Mathematics and Mathematical Sciences. 9(4), 771-779.
- Jungck, G., Murthy, P.P. and Cho, Y.J., 1993. Compatible mappings of type (A) and common fixed points. Mathematica Japonica. 38(2), 381–390.
- Kaplan, E, 2021. Modüler A-metrik uzaylar ve özellikleri, Doktora Tezi, Ondokuz Mayıs Üniversitesi Lisansüstü Eğitim Enstitüsü, Samsun, 84.
- Kutukcu, S. and Sharma, S., 2009. Compatible maps and common fixed points in Menger probabilistic metric spaces. Communications of the Korean Mathematical Society, 24(1), 17-27.
- Pathak, H.K., Cho, Y.J., Chang, S.S. and Kang S.M., 1996. Compatible mappings of type (P) and fixed point theorems in metric spaces and probabilistic metric spaces. Novi Sad Journal of Mathematics, 26(2), 87-109.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Articles |
| Authors | |
| Publication Date | August 31, 2022 |
| Submission Date | December 7, 2021 |
| Published in Issue | Year 2022 Volume: 22 Issue: 4 |
