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Solving Generalized Equations with Bounded Variables and Multiple Residuated Operators

Author

Listed:
  • M. Eugenia Cornejo

    (Department of Mathematics, University of Cádiz, 11510 Puerto Real, Spain)

  • David Lobo

    (Department of Mathematics, University of Cádiz, 11510 Puerto Real, Spain)

  • Jesús Medina

    (Department of Mathematics, University of Cádiz, 11510 Puerto Real, Spain)

Abstract

This paper studies the resolution of sup-inequalities and sup-equations with bounded variables such that the sup-composition is defined by using different residuated operators of a given distributive biresiduated multi-adjoint lattice. Specifically, this study has analytically determined the whole set of solutions of such sup-inequalities and sup-equations. Since the solvability of these equations depends on the character of the independent term, the resolution problem has been split into three parts distinguishing among the bottom element, join-irreducible elements and join-decomposable elements.

Suggested Citation

  • M. Eugenia Cornejo & David Lobo & Jesús Medina, 2020. "Solving Generalized Equations with Bounded Variables and Multiple Residuated Operators," Mathematics, MDPI, vol. 8(11), pages 1-21, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:1992-:d:441689
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