Perturbation of the mapping and solvability theorems in Banach space

Soltanov, Kamal

doi:10.1016/j.na.2009.06.067

Perturbation of the mapping and solvability theorems in Banach space

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Soltanov K. N.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol.72, no.1, pp.164-175, 2010 (SCI-Expanded)

Publication Type: Article / Article
Volume: 72 Issue: 1
Publication Date: 2010
Doi Number: 10.1016/j.na.2009.06.067
Journal Name: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.164-175
Hacettepe University Affiliated: No

Abstract

Here we consider perturbations of continuous mappings on Banach spaces, and investigate their images under various conditions. Consequently we study the solvability of some classes of equations and inclusions. For these we start by the investigation of local properties of the considered mapping and local comparisons of this mapping with certain smooth mappings. Moreover, we study different mixed problems. (C) 2009 Elsevier Ltd. All rights reserved.