Title

On regular operator approximation theory

Abstract

In this paper the approximation-solvability of nonlinear operator equations involving φ-pseudo-monotone operators and their compact perturbations is considered not by the projection methods, but by a more general 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, we obtain results in a Hilbert space setting and then upgrade them to the case of reflexive Banach spaces. Finally, an application is considered. © 1994 Academic Press, Inc.

Publication Date

1-1-1994

Publication Title

Journal of Mathematical Analysis and Applications

Volume

183

Issue

3

Number of Pages

591-604

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1006/jmaa.1994.1165

Socpus ID

43949150272 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/43949150272

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