On Approximation-Solvability of Nonlinear Equations in Reflexive Banach Spaces

descriptionPublicationkeyboard_double_arrow_right Article 30 Jun 1993Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Zeitschrift für Analysis und ihre Anwendungen, volume 12, pages 353-360 (issn: 0232-2064, eissn: 1661-4534,

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Authors: Verma, R.; Debnath, L.;

doi: 10.4171/zaa/560

On Approximation-Solvability of Nonlinear Equations in Reflexive Banach Spaces

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Abstract

We extend the Zarantonello numerical range to the case of reflexive Banach space opera-tors, and study the approximation-solvability of nonlinear equations relating to the results of Zeidler (1990).

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University of Central Florida
United States

Keywords

normed linear spaces, Iterative procedures involving nonlinear operators, approximation-solvability, Numerical solutions to equations with nonlinear operators, Hilbert space, reflexive Banach space, Zarantonello numerical range

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