LOCAL CONVERGENCE ANALYSIS OF FROZEN STEFFENSEN-TYPE METHODS UNDER GENERALIZED CONDITIONS

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-04T12:25:45Z
dc.date.issued2023
dc.description.abstractThe goal in this study is to present a unified local convergence analysis of frozen Steffensen-type methods under generalized Lipschitz-type conditions for Banach space valued operators. We also use our new idea of restricted convergence domains, where we find a more precise location, where the iterates lie leading to at least as tight majorizing functions. Consequently, the new convergence criteria are weaker than in earlier works resulting to the expansion of the applicability of these methods. The conditions do not necessarily imply the differentiability of the operator involved. This way our method is suitable for solving equations and systems of equations. MSC. 49D15, 65G19, 47H17, 65H10. © 2023, Publishing House of the Romanian Academy. All rights reserved.
dc.identifier.citationJournal of Numerical Analysis and Approximation Theory, 2023, 52, 2, pp. 155-161
dc.identifier.issn24576794
dc.identifier.urihttps://doi.org/10.33993/jnaat522-1160
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/21539
dc.publisherPublishing House of the Romanian Academy
dc.subjectBanach space
dc.subjectfrozen Steffensen-type method
dc.subjectgeneralized Lipschitz conditions
dc.subjectlocal convergence
dc.titleLOCAL CONVERGENCE ANALYSIS OF FROZEN STEFFENSEN-TYPE METHODS UNDER GENERALIZED CONDITIONS

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