The aim of the paper is the study of bifurcation phenomena in fuzzy normed linear space. We first define topological degrees (Leray-Schauder and Brouwer) and the index of an isolated zero in fuzzy linear normed space with topology induced by Felbin’s norm. Using this index, we prove the existence of the bifurcation of solutions from the 0-line and from infinity for functional equation defined by a compact mapping, we also give some global results.

fuzzy numbers, fuzzy normed space, compact operator, topological degree, index of isolated zero, bifurcation form infinity

Received: October 8, 2024; Accepted: December 17, 2024; Published: December 29, 2024

How to cite this article: Rebecca Walo Omana and Jean-Louis Akakatshi Ossako, Bifurcation from infinity in a fuzzy normed space, Advances in Fuzzy Sets and Systems 29(2) (2024),  99-122. http://dx.doi.org/10.17654/0973421X24005

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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