A solution set analysis of a nonlinear operator equation using a Leray-Schauder type fixed point approach

Document Type

Article

Publication Date

6-1-2009

Abstract

Here we study the solution set of a nonlinear operator equation in a Banach subspace Ln ⊂ C (X) by reducing it to a Leray-Schauder type fixed point problem. The subspace Ln is of finite codimension n ∈ Z+ in C (X), with X an infinite compact Hausdorff space, and is defined by conditions αi* (f) {colon equals} ∫X f (x) d μi (x) = 0, f ∈ C (X), with norms {norm of matrix} μi {norm of matrix} = 1, i = 1, ..., n. © 2009 Elsevier Ltd. All rights reserved.

Identifier

77549088366 (Scopus)

Publication Title

Topology

External Full Text Location

https://doi.org/10.1016/j.top.2009.11.017

ISSN

00409383

First Page

182

Last Page

185

Issue

2-4

Volume

48

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