Tripled Fixed Point Theorem in C*-Algebra-Valued Fuzzy Cau-chy Spaces with Application

Subject Areas : Fixed Point Theory and its Applications

Samuel Aniki ¹ (Department of Mathematics, Faculty of Science, Confluence University of Science and Technology, Osara, Kogi State, Nigeria)

Received: 2022-09-01 Accepted : 2022-10-04 Published : 2024-06-15

Keywords: Fuzzy metric space, Integral equations, contraction mapping, C^*-algebra-valued,

Abstract :

Tripled fixed point has been a major area of research interest in the field of fixed point theory. The purpose of this paper is to establish tripled fixed points for C*-algebra-valued contractions in fuzzy metric spaces. Additionally, application in integral equations to support our findings was provided. The results of our find-ings are an improvement to recent results present in the literature.