Here we consider a general approximation-solvability scheme involving -regular operators - a generalization of -proper operators - introduced and studied by Petryshyn  and further studied by Milojevic’ , Petryshyn  and others. Among significant applications, an -regular version of the Petryshyn theorem is given.
Cite this article
Ram U. Verma, General Approximation-Solvability of Nonlinear Equations Involving -regular Operators. Z. Anal. Anwend. 13 (1994), no. 1, pp. 89–96DOI 10.4171/ZAA/523