Fixed point results using $\alpha$-admissibility

  • Amine Jaid
  • Youssef Touail Faculté Polydisciplinaire de Khouribga Université Sultan Moulay Slimane de Beni-Mellal
  • Driss El Moutawakil

Abstract

In this article, using the notion of $\alpha$-admissibility, we present a new class of condensing mappings. Via this class, we prove some extensions of Darbo fixed point theorem. Moreover, we give an example to illustrate the usability of the achieved results.

Downloads

Download data is not yet available.

References

Banach, S., Sur les operations dans les ensembles abstraits et leur application aux equations integrales, Fund.Math., 3(1), 133-181 (1922).

Banas, J. and Goebel, K., Measures of Non-compactness in Banach Spaces, Marcel Dekker, New York (1980).

Brouwer, L. E. J., Uber abbildung von mannigfaltigkeiten, Math. Ann., 71(1), 97-115 (1911).

Darbo, G., Punti uniti in trasformazioni a codominio non compatto, Rend. Sem. Mat. Univ. Padova., 24, 84-92 (1955). Results 5

Imdad, M., Khan, A. R., Saleh, H. N., Alfaqih, W. M., Some φ-fixed point results for (F,φ,α-ψ)-contractive type mappings with applications. Mathematics, 7(2), 122 (2019). https://doi.org/10.3390/math7020122

Kuratowski, C., Sur les espaces complets, Fund. Math., 1(15), 301-309 (1930).

Raji, M., Generalized α-ψ-contractive type mappings and related coincidence fixed point theorems with applications. The Journal of Analysis, 31(2), 1241-1256 (2023). https://doi.org/10.1007/s41478-022-00498-8

Samet, B., Vetro, C., Vetro, P., Fixed point theorems for α-ψ-contractive type mappings, Nonlinear Anal., 75(4), 2154-2165 (2012). https://doi.org/10.1016/j.na.2011.10.014

Samet, B., Fixed points for α-ψ-contractive mappings with an application to quadratic integral equations. Electron. J. Differ. Equ, 152 (2014).

Schauder, J., Der Fixpunktsatz in Funktional-raumen, Studia Math., 2(1), 171-180 (1930).

Touail, Y., Jaid, A., El Moutawakil, D., Fixed Point Theorem via Measure of Non-Compactness for a New Kind of Contractions. Vestnik St. Petersburg University, Mathematics, 56(2), 198-202 (2023). https://doi.org/10.1134/S1063454123020164

Touail, Y., Jaid, A., El Moutawakil, D., A note on common fixed point theorems in a bounded metric space. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 27(2), 241-249 (2023). https://doi.org/10.14498/vsgtu1940

Touail, Y., Set-valued mappings: fixed point results with β-function and some applications. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 63, 61-79 (2024). https://doi.org/10.35634/2226-3594-2024-63-05

Published
2025-08-10
Section
Research Articles