- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 1 Issue: 2
- Some results in metric fixed point theory
Some results in metric fixed point theory
Authors : Eberhard MALKOWSKY, Vladimir RAKOCEVİC
Pages : 64-112
Doi:10.31197/atnaa.379089
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Publication Date : 2017-12-20
Article Type : Research
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