Open AccessConvergence and Stability Results of Modified CUIA Iterative Scheme for Hyperbolic Convex Metric space
Author(s) -
Surjeet Singh Chauhan Gonder,
Khushboo Basra
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2089/1/012040
Subject(s) - mathematics , iterative method , convergence (economics) , metric (unit) , regular polygon , nonlinear system , stability (learning theory) , scheme (mathematics) , convex metric space , metric space , mathematical analysis , mathematical optimization , computer science , geometry , operations management , physics , quantum mechanics , machine learning , economics , economic growth
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.