Ioannis K. Argyros
Abstract
An extension of the contraction mapping theorem is provided in a Banach space setting to approximate fixed points of operator equations. Our approach is justified by numerical examples where our results apply whereas the classical contraction mapping principle cannot.
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An extension of the contraction mapping theorem is provided in a Banach space setting to approximate fixed points of operator equations. Our approach is justified by numerical examples where our results apply whereas the classical contraction mapping principle cannot.
Key concepts: Mathematics, Contraction mapping, Contraction (grammar), Extension (predicate logic), Banach space, Contraction principle, Pure mathematics, Open mapping theorem (functional analysis)