A hybrid M*-Noor iteration scheme for fixed point KSC type mapping in CAT(0) space
*Swati TomarCorresponding authortomarswati38@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:
- 27 Aug 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2650
- Pages:
- 1–9
Abstract
This study presents a new M*-Noor hybrid approach for approximating fixed point of Kannan Suzuki Condition (KSC) type mappings in CAT(0) space. This method combines M* iteration with the Noor iteration, using three control parameters to enhance flexibility and convergence. Theoretical analysis confirms that our method achieves both Δ-convergence and strong convergence given certain mild assumptions. Numerical results, including an application to a fractional differential equation, demonstrate that the proposed hybrid scheme achieves significantly faster and more stable convergence when evaluated against traditional M*- iteration and other well established iterative methods from existing research.
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References
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