BIFURCATION FROM INFINITY IN A FUZZY NORMED SPACE
Keywords:
fuzzy numbers, fuzzy normed space, compact operator, topological degree, index of isolated zero, bifurcation form infinityDOI:
https://doi.org/10.17654/0973421X24005Abstract
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.
Received: October 8, 2024
Accepted: December 17, 2024
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