APPROXIMATION OF FIXED POINT FOR F ITERATIVE ALGORITHM AND SOLUTION OF A DELAY DIFFERENTIAL EQUATION
DOI:
https://doi.org/10.29121/shodhkosh.v5.i7.2024.5260Keywords:
Delay Differential Equation, Data Dependence Result, F-IterationAbstract [English]
The paper reports convergence, stability and data dependence results for the operators satisfying contractive conditions and contractive condition of rational expression using F iteration scheme in Banach space. With the help of suitable numerical examples, it is claimed that F iteration process is more efficient than many other iterative schemes available in literature. As an application, we have proposed solution to a delay differential equation. Our results are new and extends and improves many corresponding results available in the literature.
Subject classification 47H10, 47H09, 49M05, 54H25
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