C*-Algebra-Valued Fuzzy Metric Spaces in Coupled Fixed Point with Applications

Subject Areas : Fixed Point Theory and its Applications

Samuel Aniki ¹

1 - Department of Mathematics, Faculty of Science, Confluence University of Science and Technology, Osara, Kogi State, Nigeria

Received: 2022-05-18 Accepted : 2022-08-28 Published : 2022-10-12

Keywords: C*-algebra-valued contraction, fixed point, Fuzzy metric space, Mixed monotone mapping,

Abstract :

Coupled fixed point has been a major area of research interest in the field of fixed point theory. This work establishes coupled fixed point for C*-algebra-valued contractions in fuzzy metric spaces. Also, application in integral equations to back up our claim was given. The results of our findings are an improvement to some existing works in the literature

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