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JOURNALS // Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy // Archive

Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022 Volume 9, Issue 3, Pages 542–549 (Mi vspua33)

This article is cited in 4 papers

MATHEMATICS

Fixed point results for condensing operators via measure of non-compactness

Y. Touail, A. Jaid, D. El Moutawakil

Sultan Moulay Slimane University, 591, Beni-Mellal, 23000, Morocco

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.

UDC: 515.1

MSC: 47H10; 54H25

Received: 21.12.2021
Revised: 14.02.2022
Accepted: 03.03.2022

DOI: 10.21638/spbu01.2022.314


 English version:
Vestnik St. Petersburg University, Mathematics, 2022, 9:3, 542–549


© Steklov Math. Inst. of RAS, 2024