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Convergence and Data Dependency of Normal-S Iterative Method for Discontinuous Operators on Banach Space

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dc.contributor.authorGursoy, Faik
dc.contributor.authorKhan, Abdul Rahim
dc.contributor.authorErturk, Muzeyyen
dc.contributor.authorKarakaya, Vatan
dc.date.accessioned2026-06-27T14:12:39Z
dc.date.issued2018
dc.description.abstractWe study convergence, rate of convergence and data dependency of normal-S iterative method for a fixed point of a discontinuous operator T on a Banach space. We also prove some Collage type theorems for T. The main aim here is to show that there is a close relationship between the concepts of data dependency of fixed points and the collage theorems and show that the latter provides better estimate. Numerical examples in support of the results obtained are also given.en
dc.description.sponsorshipDeanship of Scientific Research (DSR) at King Fahd University of Petroleum AMP
dc.description.sponsorshipMinerals (KFUPM) [IN141047]
dc.description.urihttps://doi.org/10.1080/01630563.2017.1363774
dc.identifier.doi10.1080/01630563.2017.1363774
dc.identifier.eissn1532-2467
dc.identifier.endpage345
dc.identifier.issn0163-0563
dc.identifier.issue3
dc.identifier.startpage322
dc.identifier.urihttps://hdl.handle.net/20.500.14981/57993
dc.identifier.volume39
dc.identifier.wos000428508100005
dc.language.isoeng
dc.publisherTAYLOR & FRANCIS INC
dc.relation.ispartofNUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
dc.subjectCollage theorem
dc.subjectdata dependency
dc.subjectinverse problem
dc.subjectiterative scheme
dc.subjectstrong convergence
dc.subjectCOLLAGE-BASED APPROACH
dc.subjectINVERSE PROBLEMS
dc.subjectFIXED-POINTS
dc.subjectAPPROXIMATION
dc.subjectEQUATIONS
dc.subjectMAPPINGS
dc.subjectMAPS
dc.subjectMathematics
dc.titleConvergence and Data Dependency of Normal-S Iterative Method for Discontinuous Operators on Banach Space
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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