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Home / Vol 37/2021 no. 2 / Set-theoretical aspect of the fixed point theory: some examples
carpathian_2021_37_2_235_258_001

Set-theoretical aspect of the fixed point theory: some examples


 Rus, Ioan A.


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Issue no: Vol 37/2021 no. 2 Tags: orbit, strong $\theta$-condensing operator, closure operator, $(\theta, invariant partition, \varphi)$-contraction, cyclic covering, strong $(\theta, invariant operator with respect to an operator, $R$-space, interpolation point, $R$-contraction, open problem, equivalent fixed point equations, retraction, fixed point structure, admissible perturbation of an operator, retractible operator, operator with intersection property, boundary condition, compatible pair with a fixed point structure, conjecture, invariant subset, $\theta$-condensing operator
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In this paper we revisit some of my own contributions to the fixed point theory, contributions which are related to set-theoretical terms. My intention is to do this in a unitary way. New notions and results are given. Open problems are also formulated.

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Author(s)

 Rus, Ioan A.

DOI

https://doi.org/10.37193/CJM.2021.02.10

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Authors

Abbas, Mujahid Acu, Dumitru Balaj, Mircea Berinde, Mădălina Berinde, Vasile Bărbosu, Dan Chidume, C. E. Cho, Yeol Je Choban, Mitrofan M. Coroian, Iulian Cosma, Ovidiu Cristescu, Gabriela Diudea, Mircea V. Fukhar-ud-din, Hafiz Gaidici, A. Horvat-Marc, Andrei Ioanoviciu, Aurel Khan, Abdul Rahim Kozma, Lidia Elena Kumam, Poom Lungu, Nicolaie Marin, Marin Megan, Mihail Mortici, Cristinel Mureșan, Anton S. Mureșan, Viorica Pişcoran, Laurian-Ioan Pop, Adina Pop, Maria Sânziana Pop, Nicolae Pop, Ovidiu T. Pop, Petrică Claudiu Pop, Vasile Popa, Dorian Popa, Valeriu Pop Sitar, Corina Păcurar, Mădălina Păvăloiu, Ion Rus, Ioan A. Rusu, Cristian Sass, Istvan Huba Attila Suantai, Suthep Tașcu, Ioana Yao, Jen-Chih Zelina, Ioana

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