Malkowsky, E., & Rakočević, V. (2017). Some results in metric fixed point theory. Advances in the Theory of Nonlinear Analysis and Its Application, 1(2), 64–112.
- ISSN: 2587-2648
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Eberhard Malkowskya, Vladimir Rakočevićb
a Department of Mathematics, State University of Novi Pazar, Vuka Karadžića bb, 36300 Novi Pazar, Serbia
b Department of Mathematics, Faculty of Mathematics and Sciences, University of Niš, Višegradska 33, 18000 Niš, Serbia
This is a survey of results mainly in metric fixed point theory, including the Darbo–Sadovskiĭ 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.
Malkowsky, E., & Rakočević, V. (2017). Some results in metric fixed point theory. Advances in the Theory of Nonlinear Analysis and Its Application, 1(2), 64–112.