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Zeitschrift für Analysis und ihre Anwendungen


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Volume 13, Issue 1, 1994, pp. 89–96
DOI: 10.4171/ZAA/523

Published online: 1994-03-31

General Approximation-Solvability of Nonlinear Equations Involving $\mathcal A$-regular Operators

Ram U. Verma[1]

(1) University of Central Florida, Orlando, USA

Here we consider a general approximation-solvability scheme involving $\mathcal A$-regular operators - a generalization of $\mathcal A$-proper operators - introduced and studied by Petryshyn [4] and further studied by Milojevic’ [3], Petryshyn [6] and others. Among significant applications, an $\mathcal A$-regular version of the Petryshyn theorem is given.

Keywords: $\mathcal A$-regular operators, discrete convergence, consistency, stability

Verma Ram: General Approximation-Solvability of Nonlinear Equations Involving $\mathcal A$-regular Operators. Z. Anal. Anwend. 13 (1994), 89-96. doi: 10.4171/ZAA/523