On regular operator approximation theory
type: Item
instance of: scholarly article
title: On regular operator approximation theory
zbMATH Open document ID: 0806.47058
author: Ram U. Verma
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-02-16T00:00:00Z
review text: The approximation-solvability of nonlinear operator equations involving \(\phi\)-pseudo-monotone operators and their compact perturbations is considered by the method of regular operator approximation theory -- an improvement over the usual convergence method of approximate solutions in the sense that it yields the convergence of approximate solutions under minimal hypotheses. First, results in a Hilbert space setting are obtained and then upgraded to the case of reflexive Banach spaces. Finally, an application is considered.
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 599919
zbMATH Keywords: \(\phi\)-pseudo-monotone operators and their compact perturbations
zbMATH Keywords: regular operator approximation
zbMATH Keywords: approximation-solvability of nonlinear operator equations
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1165
OpenAlex ID: W2052352229
DOI: 10.1006/JMAA.1994.1165
description: scientific article; zbMATH DE number 599919