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JOURNALS // Matematicheskie Zametki // Archive

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

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, 2024