Some results in multiplicative-modular b-metric spaces and their applications
*Parveen TyagiCorresponding authorparveentyagi1142@gmail.comDepartment of MathematicsUniversity Institute of Sciences (UIS)Chandigarh UniversityMohali, Punjab, 140413, IndiaView full profile → , Surjeet Singh Chauhan (Gonder)surjeetschauhan@yahoo.comDepartment of MathematicsUniversity Institute of Sciences (UIS)Chandigarh UniversityMohali, Punjab, 140413, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Feb 2026
- Published Online:
- 25 Aug 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2633
- Pages:
- 2481–2485
Abstract
This article introduces a novel Multiplicative-Modular b-Metric Space (MMbMS), which generalizes two Metric Spaces by relaxing the Triangle Inequality. We establish its properties and prove the Banach and Kannan Contraction Theorems with adjusted constants, ensuring their validity in this broader framework. The Banach Contraction Principle is extended to this generalized space, proving its validity under appropriate Contraction Conditions, and its potential applications in solving Integral and Differential Equations are explored.
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References
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