Abstract:
In this paper, we prove some fixed point theorems for condensing operators in the setting of Banach spaces via measure of non-compactness, without using regularity. Our results improve and generalize many known results in the literature.
Keywords:
fixed point, measure of non-compactness, regularity.
Citation:
Y. Touail, A. Jaid, D. El Moutawakil, “Fixed point results for condensing operators via measure of non-compactness”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:3 (2022), 542–549; Vestn. St. Petersbg. Univ., Math., 9:3 (2022), 542–549
\Bibitem{TouJaiEl 22}
\by Y.~Touail, A.~Jaid, D.~El Moutawakil
\paper Fixed point results for condensing operators via measure of non-compactness
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2022
\vol 9
\issue 3
\pages 542--549
\mathnet{http://mi.mathnet.ru/vspua33}
\crossref{https://doi.org/10.21638/spbu01.2022.314}
\transl
\jour Vestn. St. Petersbg. Univ., Math.
\yr 2022
\vol 9
\issue 3
\pages 542--549
\crossref{https://doi.org/10.1134/S1063454122030153}
Linking options:
https://www.mathnet.ru/eng/vspua33
https://www.mathnet.ru/eng/vspua/v9/i3/p542
This publication is cited in the following 5 articles:
Y. Touail, A. Jaid, D. El Moutawakil, “A common fixed-point result via a supplemental function with an application”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 28:4 (2024), 790–798
Amine Jaid, Youssef Touail, Driss El Moutawakil, “On μF-contraction: New types of fixed points and common fixed points in Banach spaces”, Asian-European J. Math., 16:11 (2023)
Y. Touail, A. Jaid, D. El Moutawakil, “Fixed point theorem via measure of non-compactness for a new kind of contractions”, Vestn. St. Petersbg. Univ., Math., 10:2 (2023), 270–276
Y. Touail, “A New Generalization of Metric Spaces Satisfying the T2-Separation Axiom and Some Related Fixed Point Results”, Russ Math., 67:5 (2023), 76