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dc.contributor.authorArgyros G.I.
dc.contributor.authorArgyros M.I.
dc.contributor.authorRegmi S.
dc.contributor.authorArgyros I.K.
dc.contributor.authorGeorge S.
dc.identifier.citationComputation Vol. 8 , 3 , p. -en_US
dc.description.abstractThe method of discretization is used to solve nonlinear equations involving Banach space valued operators using Lipschitz or Hölder constants. But these constants cannot always be found. That is why we present results using ω- continuity conditions on the Fréchet derivative of the operator involved. This way, we extend the applicability of the discretization technique. It turns out that if we specialize ω- continuity our new results improve those in the literature too in the case of Lipschitz or Hölder continuity. Our analysis includes tighter upper error bounds on the distances involved. © 2020 by the authors.en_US
dc.titleOn the solution of equations by extended discretizationen_US
Appears in Collections:1. Journal Articles

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