Stability and convergence of a modified Picard-Ishikawa hybrid iterative process
*Manbhalang ChyneCorresponding authormchyne2012@gmail.comDepartment of MathematicsUniversity Institute of Sciences (UIS)Chandigarh UniversityMohali, Punjab, 140413, IndiaView full profile → , Naveen Kumarimnaveenphd@gmail.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-2635
- Pages:
- 2495–2507
Abstract
In this work, a variant of the Picard–Ishikawa hybrid scheme is introduced which is designed for approximation of fixed points for contractive mappings in Banach spaces. The corresponding iterative sequence is shown to be stable and to approach the fixed point more rapidly than a known Picard–S process. Furthermore, data dependence results associated with the process are obtained. These findings demonstrate that suitable modifications of existing hybrid iterations can significantly enhance convergence performance.
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References
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