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Synthetic Approaches to Problems of Fixed Points

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Topology and Approximate Fixed Points

Part of the book series: Developments in Mathematics ((DEVM,volume 71))

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Abstract

In this chapter, we introduce synthetic approaches to fixed point problems involving regular-global-inf functions. Such functions satisfy a condition weaker than continuity. Additionally, under appropriate assumptions, it assures that approximate fixed point sequences always approach the fixed point set.

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Author information

Authors and Affiliations

  1. Faculty of Sciences, Mathematics University of Sfax, Sfax, Tunisia

    Afif Ben Amar

  2. School of Mathematical and Statistical Sciences, National University of Ireland, Galway, Ireland

    Donal O’Regan

Authors
  1. Afif Ben Amar
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  2. Donal O’Regan
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Ben Amar, A., O’Regan, D. (2022). Synthetic Approaches to Problems of Fixed Points. In: Topology and Approximate Fixed Points. Developments in Mathematics, vol 71. Springer, Cham. https://doi.org/10.1007/978-3-030-92204-7_4

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