Some results in metric fixed point theory

Year 2017, Volume: 1 Issue: 2, 64 - 112, 20.12.2017

Eberhard Malkowsky , Vladimir Rakocevic

https://doi.org/10.31197/atnaa.379089

Abstract

This is a survey of results mainly in metric fixed point theory, including the Darbo–Sadovski˘i theorem using measures of noncompactness. Various different proofs are presented for some of the most important historical results. Furthermore many examples and remarks are added to illustrate the topics of the paper.

Keywords

Fixed point theorems, nonlinear analysis, contractions, measures of noncompactness, condensing operators

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