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

Anatoliy K. Prykarpatsky, Denis Blackmore

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)182-185
Number of pages4
JournalTopology
Volume48
Issue number2-4
DOIs
StatePublished - Jun 2009

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Keywords

  • Fixed point theory
  • Leray-Schauder type theorem
  • Nonlinear operator equation
  • Solution set analysis

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