Integral equations solvability in extended rectangular b-metric space via rational-type contractions
*Kanika RanaCorresponding authork4kanikarana@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-2626
- Pages:
- 2413–2420
Abstract
In this study, generalized rational type contraction mappings and its research is done in the framework of extended rectangular b-metric space (Erbms) under the condition that rational type contraction mappings have unique fixed point (Fp). The notion of Erbms is more general than classical metric space, and offers a more general class of mappings. Conditions are given such that such mappings are shown to have a unique Fp. The theorems proved, extend a multitude of classical results. For instance, an example that meets the necessary conditions is also given, to illustrate the theoretical results. A practical application of an integral equations is also provided. Under appropriate conditions it has been shown that these equations can be solved efficiently by the Fp results.
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References
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