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A Fixed Point Result on the Interesting Abstract Space: Partial Metric Spaces

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Models and Theories in Social Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 179))

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Abstract

In this chapter, we shall investigate the existence of fixed point of certain mappings via simulation functions in the framework of an interesting abstract space, namely, partial metric spaces. The main results of this manuscript not only extend, but also generalize, improve and unify several existing results on the literature of metric fixed point theory.

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Authors and Affiliations

  1. Atilim University, 06836, Incek, Ankara, Turkey

    Erdal Karapınar

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  1. Erdal Karapınar
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Correspondence to Erdal Karapınar .

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Editors and Affiliations

  1. Faculty of Mathematics and Computer Science, Ovidius University of Constanţa, Constanţa, Romania

    Cristina Flaut

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

    Šárka Hošková-Mayerová

  3. Faculty of History and Political Science, Ovidius University of Constanţa, Constanţa, Romania

    Daniel Flaut

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Karapınar, E. (2019). A Fixed Point Result on the Interesting Abstract Space: Partial Metric Spaces. In: Flaut, C., Hošková-Mayerová, Š., Flaut, D. (eds) Models and Theories in Social Systems. Studies in Systems, Decision and Control, vol 179. Springer, Cham. https://doi.org/10.1007/978-3-030-00084-4_21

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