Some new results on fixed point theorems of some mappings via interpolation in 2-Banach spaces

10.30495/maca.2025.2075521.1151

Articles in Press, Accepted Manuscript
Available Online from 01 February 2026

Document Type : Original Article

Author

C. H. School of Hauman El Fetouaki, Had Soualem, Morocco

Abstract
In this article, we introduce interpolative Berinde weak type contraction mappings on a 2-Banach space. In particular, we discuss the existence of a fixed point of such a mapping in a 2-Banach space. However, we define a dual of interpolative Reich-Rus-Ćirić type contraction mappings and interpolative Hardy-Rogers type contraction mappings on 2-Banach spaces and complete metric spaces. In particular, we prove the existence of a fixed point of such mappings in 2-Banach spaces and complete metric spaces. On the other hand, we introduce interpolative Berinde-Ćirić type contraction mappings and interpolative Berinde-Meir-Keeler type contractions on a 2-Banach space. However, we prove the existence of a fixed point of such mappings in 2-Banach spaces.

Keywords

  • Receive Date 22 October 2025
  • Revise Date 29 November 2025
  • Accept Date 30 November 2025