Classic fixed point theorems and aplications

• Grant number: 13/02987-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2013
• End date: September 30, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Grazielle Feliciani Barbosa
• Grantee: Allan Marchesin Costa
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

This project has the goal of studying three classic fixed point theorems: the Banach fixed point theorem, the Brouwer theorem for fixed points and also a generalization of the Brouwer theorem, the Schauder theorem. We also want to explore applications for each of these theorems and some hypothesis adaptations for each one.