Fixed point theorems of some mappings via interpolation in 2-Banach spaces

Ettayb, Jawad

doi:10.30495/maca.2025.2068954.1146

Fixed point theorems of some mappings via interpolation in 2-Banach spaces

10.30495/maca.2025.2068954.1146

Volume 7, Issue 4
Autumn 2025

Pages 27-39

Mathematical Analysis and its Contemporary Applications

Document Type : Original Article

Author

Jawad Ettayb

Independent Researcher, Had Soualem, Morocco

Abstract

In this article, we introduce weak contractive mappings and interpolative Kannan-type contraction mappings on a $2$-Banach space. In particular, we discuss the existence and uniqueness of a fixed point of such mappings in a $2$-Banach space. However, we define interpolative Reich-Rus-Ćirić type contraction mappings and interpolative Hardy-Rogers type contraction mappings, Kannan-Ćirić type contraction mappings and interpolative Kannan-Meir-Keeler type contractions on a $2$-Banach space. In particular, we prove the existence of a fixed point of such mappings in a $2$-Banach space.

Keywords

Fixed point theorems

2-Banach spaces

closed and bounded sets

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