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Atomicity via regularity for non-additive set multifunctions

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Abstract

In this paper, an approach of atomicity problems is presented by means of regularity. Characterizations and physical interpretations of atoms and non-atomicity for set multifunctions taking values in the family of all nonempty subsets of a topological space are given.

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Acknowledgments

This research was supported for the first author by the Grant MNPRS 174009 and by the project “Mathematical models of intelligent systems and their applications” which was supported by the Provincial Secretariat for Science and Technological Development of Vojvodina.The authors are indebted to the Area Editor and the unknown referees for their valuable remarks in the improving of the paper.

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Authors and Affiliations

  1. Singidunum University, Danijelova 32, 11000, Belgrade, Serbia

    Endre Pap

  2. Óbuda University, Becsi út 92, Budapest, 1034, Hungary

    Endre Pap

  3. Faculty of Mathematics, “Al.I. Cuza” University, Carol I Bd. 11, 700506, Iaşi, Romania

    Alina Gavriluţ

  4. Department of Physics, Gheorghe Asachi Technical University of Iaşi, Iaşi, Romania

    Maricel Agop

Authors
  1. Endre Pap
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  2. Alina Gavriluţ
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  3. Maricel Agop
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Correspondence to Alina Gavriluţ.

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The authors declare no (financial or non-financial) potential conflicts of interest. This article does not contain any studies with human participants or animals performed by any of the authors. The manuscript has not been submitted to more than one journal for simultaneous consideration. The manuscript has not been published previously (partly or in full).

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Communicated by A. Di Nola.

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Pap, E., Gavriluţ, A. & Agop, M. Atomicity via regularity for non-additive set multifunctions. Soft Comput 20, 4761–4766 (2016). https://doi.org/10.1007/s00500-015-2021-x

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