Convergence and Stability Results of Modified CUIA Iterative Scheme for Hyperbolic Convex Metric space

The iterative fixed points have numerous applications in locating the solution of some real-life problems which can be modelled into linear as well as nonlinear differential and integral equations. In this manuscript, first of all, a new iterative scheme namely Modified CUIA iterative scheme is intr...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-11, Vol.2089 (1), p.12040
Main Authors: Gonder, Surjeet Singh Chauhan, Basra, Khushboo
Format: Article
Language:English
Subjects:
Convex Metric Space
Hyperbolic
Iterative Schemes
T stability
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Summary:The iterative fixed points have numerous applications in locating the solution of some real-life problems which can be modelled into linear as well as nonlinear differential and integral equations. In this manuscript, first of all, a new iterative scheme namely Modified CUIA iterative scheme is introduced. We first prove a theorem to check the convergence of this iteration for Hyperbolic Convex metric space. The result is then supported with one example. Further, another theorem is proved establishing the weak T stability of modified CUIA iterative scheme on the above space.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2089/1/012040