Work

Bifurcation From Infinity in a Fuzzy Normed Space

Year: 2024

Type: article

Abstract: 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.

Source: Advances in Fuzzy Sets and Systems

DOI: 10.17654/0973421x24005

Authors: Rebecca Walo Omana, Jean-Louis Akakatshi Ossako

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4408136418

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