FIXED POINT RESULTS FOR JAGGI-TYPE HYBRID CONTRACTION IN JS-MODULAR METRIC SPACES
DOI:
https://doi.org/10.33003/fjs-2025-0910-4078Keywords:
JS-Modular Metric Space, Fixed PointAbstract
In this paper, we introduce a new concept of JS-modular metric space and obtain some fixed-point results of hybrid contractions in this setting. Some corollaries that reduce our result to other well-known ideas in the literature are highlighted. An example is constructed to support the established concepts, and to demonstrate the distinction of this research with respect to the existing ones.
References
Abdou A. & Khamsi M., (2013). Fixed Point Results of Pointwise Contractions in Modular Metric Spaces, Fixed Point Theory and Applications. 20(2), 213-221.
Abdou A., (2013). On Asymptotic Pointwise Contractions in Modular Metric Spaces, Abstract and Applied Analysis. 2013.
Arockiam S., & John M. J., (2012). Common Fixed Point Theorems for Three Mappings in Generalized Modular Metric Spaces, Korean Journal of Mathematics. 32(1).
Chaipunya P., Mongkolkeha C., Sintunavarat W., & Kumam P., (2012). Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces, Abstract and Applied Analysis. 2012.
Chistyakov V. V., (2010). Modular Metric Spaces I: Basic Concepts, Nonlinear Analysis. 72, 1-14.
Okeke G. A. & Francis D., (2024). Some Common Fixed Point Theorems in Generalized Modular Metric Spaces with Applications, Scientific.African. 23.
Jiddah J. A., Alansari M., Mohamed O. K. S., Shagari M. S. & Bakery A., (2022). Fixed Point Results of Jaggi Type Hybrid Contraction in Generalized Metric Space, Journal of Function Spaces. 2022(1), 2205423.
Jiddah J. A., Alansari M., Mohamed O. K. S., Shagari M. S. & Bakery A., (2023). Fixed Point Results of a New Family of Contractions in Metric Space Endowed with a Graph, Journal of Mathematics. 2023(1), 2534432.
Jiddah J. A. & Shagari M. S., (2024). Graphical Approach to the Study of Fixed-Point Results Involving Hybrid Contractions, Results in Control and Optimization. 14.
Jiddah J. A., Noorwali M., Shagari M. S., Rashid S. & Jarad F., (2022). Fixed Point Results of a New Family of Hybrid Contractions in Generalized Metric Space With Applications, AIMS Mathematics, 7(10), 17894-17912.
Jiddah J. A., Mohammed S. S. S. & Imam A. T., (2023). Advancements in Fixed Point Results of Generalized Metric Spaces: A survey, Sohag Journal of Sciences. 8(2), 175-208.
Jleli M., & Samet B., (2015). A Generalized Metric Space and Related Fixed Point Theorems, Fixed Point Theory and Applications. 2015,61.
Karapinar E., & Fulga A., (2019). A Hybrid Contraction that Involves Jaggi Type, Symmetry. 11, 5:715.
Manav N., (2021). Fixed-Point Theorems in Generalized Modular Metric Spaces, Metric Fixed Point Theory: Applications in Science, Engineering and Behavioural Sciences. 89-111.
Manav N., & Agarwal R. P., (2023). Best Approximation of Fixed Point Results fornBranciari Contraction of Integral Type on Generalized Modular Metric Space, Mathematics. 11(21), 4455.
Mongolkeha C., Sintunavarat W., & Kumaam P., (2011). Fixed Point Theorems for Contraction Mappings in Modular Metric Spaces, Fixed Point Theory and Applications. 2011.
Musielak J., & Orlicz W., (1959). Some Remarks on Modular Spaces. Bull Acad Polon Sci Sr Sci Math Astron Phys. 7, 661-668.
Mutlu A., Ozkan K., & Gurdal U., (2018). Coupled Fixed Point in Partially Ordered Modular Metric Spaces and its Application, Journal of Computational Analysis and Applications. 25(2), 1-10.
Nakano H., (1959). Modular Semi-Ordered Spaces, Tokyo, Japan.
Nadler B., (1969). Multivalued Contraction Mappings, Pacific J. Maths 30, 475488.
Turkoglu D., & Manav N., (2018). Fixed Point Theorems in a New Type of Modular Metric Space, Fixed Point Theory and Applications. 2018.
Yahaya S., & Shagari M. S., (2023). Multivalued Hybrid Contraction That Involves Jaggi and Pata-type Inequalities, Mathematical Foundations of Computing.
Zhua X., Zhaoa Q., & Zhonga L., (2020). Fixed Point Results for F-Contraction Mapping in Modular Metric Spaces, European Journal of Mathematics and Computer Science. 7(2).
Downloads
Published
Issue
Section
Categories
License
Copyright (c) 2025 Abdulaziz Zakariyya, Mohammed Shehu Shagari, Mohammed Sani Mashina
This work is licensed under a Creative Commons Attribution 4.0 International License.
