The convergence behaviour of Das and Dabata iteration in arbitrary Banach space

Due to increasing applications of fixed-point theory and iterative schemes in real life in various directions, we develop a new result for using Das and Debata [1] iterative process with a pair of Zamfirescu operators in ABS (“Arbitrary Banach Space”) and verify the convergence of an iteration given...

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Bibliographic Details
Main Author: Chauhan (Gonder), Surjeet Singh
Format: Conference Proceeding
Language:English
Subjects:
Banach spaces
Convergence
Fixed points (mathematics)
Online Access:Get full text
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Summary:Due to increasing applications of fixed-point theory and iterative schemes in real life in various directions, we develop a new result for using Das and Debata [1] iterative process with a pair of Zamfirescu operators in ABS (“Arbitrary Banach Space”) and verify the convergence of an iteration given by [1]. By this result we extend and refine many existing results.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0141288