Fixed point results in CAT (0) space using non-expansive mappings
*Akriti RaturiCorresponding authorakritiraturi2002@gmail.comDepartment of MathematicsChandigarh UniversityMohali, Punjab, 140413, IndiaView full profile → , Surjeet Singh Chauhan (Gonder)surjeetschauhan@yahoo.comDepartment of MathematicsChandigarh 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-2649
- Pages:
- 2601–2607
Abstract
This paper introduces new fixed point theorems for non-expansive mappings specifically within complete CAT(0) spaces, which are vital instances of geodesic metric spaces characterized by non-positive curvature. We specifically demonstrate the efficiency of the established SNIA iterative process in approximating fixed points. This is achieved using Δ-convergence, in CAT(0) Space. The results presented here enhance and integrate various known convergence theorems, establishing a more comprehensive context for analyzing iterative schemes in CAT(0) spaces.
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References
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