Fixed points results in modular vector spaces with applications to quantum operations and Markov operators

Mohamed Amine Khamsi, Poom Kumam, Umar Batsari Yusuf

Research output: Contribution to journalArticlepeer-review

Abstract

Recently, researchers are showing more interest on both modular vector spaces and modular function spaces. Looking at the number of results it is pertinent to say that, exploration in this direction especially in the area of fixed point theory and applications is still ongoing, many good results can still be unveiled. As a contribution from our part, we study some fixed point results in modular vector spaces associated with order relation. As an application, we were able to study the existence of fixed point(s) of both depolarizing quantum operation and Markov operators through modular functions/modular spaces. The awareness on the importance of quantum theory and Economics globally were the sole motivations of the application choices in our work. Our work complement the existing results. In fact, it adds to the number of application areas that modular vector/function spaces covered.

Original languageBritish English
Pages (from-to)277-286
Number of pages10
JournalCarpathian Journal of Mathematics
Volume36
Issue number2
StatePublished - 2020

Keywords

  • Electrorheological fluids
  • Fixed point
  • Markov operator
  • Modular vector spaces
  • Monotone mapping
  • Order relation
  • Quantum state
  • ρ-asymptotically contractive mapping

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