$q_e-$Fixed Point and $q_e-$Inverse Function Theorem $1D$

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Authors

  • J. A. Castillo Facultad de Matemáticas, Acapulco, Universidad Autónoma de Guerrero, Carlos E. Adame #54, Col. Garita, c.p. 39650, Acapulco, Gro., México Author
  • J. A. P. Moyado Facultad de Matemáticas, Acapulco, Universidad Autónoma de Guerrero, Carlos E. Adame #54, Col. Garita, c.p. 39650, Acapulco, Gro., México Author
  • T. Galeana Facultad de Matemáticas, Acapulco, Universidad Autónoma de Guerrero, Carlos E. Adame #54, Col. Garita, c.p. 39650, Acapulco, Gro., México Author
  • M.A. Herrera Facultad de Matemáticas, Acapulco, Universidad Autónoma de Guerrero, Carlos E. Adame #54, Col. Garita, c.p. 39650, Acapulco, Gro., México Author
  • Israel Herrera Facultad de Matemáticas, Acapulco, Universidad Autónoma de Guerrero, Carlos E. Adame #54, Col. Garita, c.p. 39650, Acapulco, Gro., México Author

DOI:

https://doi.org/10.5890/DNC.2026.09.001

Abstract

Using the definitions from [1] on the $q_e-$calculus we prove $q_e-$analogues of the Fixed Point Theorem and Inverse Function Theorem.

References

[1] Nápoles, J.E., Castillo, J.A., Guzmán, P.M., and Lugo, L.M. (2019), A new local fractional derivative of $q-$uniform type, Discontinuity, Nonlinearity, and Complexity, 8, 101-109.

[2] Spivak (2008), Calculus, Publish or Perish Inc., Texas, 4ed.

[3] Kac, V. and Cheung, P. (2001), Quantum Calculus, Springer Science & Business Media, New York.

[4] Bermudo, S., Kórus, P., and Nápoles Valdés, J.E.(2020), On q-Hermite-Hadamard inequalities for general convex functions, Acta Mathematica Hungarica, 162, 364-374. https://doi.org/10.1007/s10474-020-01025-6

[5] Castillo, J.A., Cruz, S., Nápoles, J.E., and Galeana, T. (2021), Some new results on $q$-calculus, Discontinuity, Nonlinearity, and Complexity, 4(12), 733-741.

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PublishedJuly 2026

Usage tracked since September 1, 2026.

History Published

Issue

Vol. 15 No. 3 (2026): Regular Issue

Section

Research Articles

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How to Cite

Castillo, J. A., Moyado, J. A. P., Galeana, T., Herrera, M., & Herrera, I. (2026). $q_e-$Fixed Point and $q_e-$Inverse Function Theorem $1D$. Discontinuity, Nonlinearity, and Complexity, 15(3), 309-313. https://doi.org/10.5890/DNC.2026.09.001

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