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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2024 Volume 115, Issue 4, Pages 538–554 (Mi mzm14330)

This article is cited in 1 paper

Papers published in the English version of the journal

Common Fixed Point Theorems for Contractive Mappings of Integral Type in $b$-Metric Spaces

Jinze Gou, Hongyan Guan

School of Mathematics and Systems Science, Shenyang Normal University, People's Republic of China

Abstract: This paper is the first to introduce a fixed point problem of integral type in a $b$-metric space. We study sufficient conditions for the existence and uniqueness of a common fixed point of a contractive mapping of integral type. We also give two examples to support our results.

Keywords: common fixed point, contractive mapping of integral type, $b$-metric.

Received: 26.08.2023
Revised: 17.01.2024

Language: English


 English version:
Mathematical Notes, 2024, 115:4, 538–554

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© Steklov Math. Inst. of RAS, 2025