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Revisiting Fixed Point Results with a Contractive Iterative at a Point

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Algorithms as a Basis of Modern Applied Mathematics

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 404))

Abstract

In this manuscript, we shall discuss fixed point results with a contractive iterative at a point in the setting of various abstract space. The first aim of this paper is to collect the corresponding basic results on the topic in the literature. After then, our purpose is to combine and connect several existing results in this direction by generalizing the famous theorem of Matkowski. We shall consider some consequence of our main result to illustrate its genuineness.

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Authors and Affiliations

  1. Department of Mathematics, Çankaya University, 06790, Etimesgut, Ankara, Turkey

    Erdal Karapinar

  2. Department of Medical Research, China Medical University, Taichung, Taiwan

    Erdal Karapinar

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  1. Erdal Karapinar
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Correspondence to Erdal Karapinar .

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Editors and Affiliations

  1. Department of Mathematics and Physics, Faculty of Military Technology, University of Defence, Brno, Czech Republic

    Šárka Hošková-Mayerová

  2. Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania

    Cristina Flaut

  3. Department of Mathematics and Physics, University of Campania “Luigi Vanvitelli”, Caserta, Italy

    Fabrizio Maturo

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Karapinar, E. (2021). Revisiting Fixed Point Results with a Contractive Iterative at a Point. In: Hošková-Mayerová, Š., Flaut, C., Maturo, F. (eds) Algorithms as a Basis of Modern Applied Mathematics. Studies in Fuzziness and Soft Computing, vol 404. Springer, Cham. https://doi.org/10.1007/978-3-030-61334-1_7

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