Ćirić type nonunique fixed point theorems in the frame of fuzzy metric spaces

Autor: Tatjana Došenović, Dušan Rakić, Stojan Radenović, Biljana Carić
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics. 8:2154-2167
ISSN: 2473-6988
Popis: The paper defines a new contractive condition within $ \kappa- $orbitally complete fuzzy metric spaces $ (\Theta, \mathcal{M}, \mathcal{T}) $, as well as fixed point theorems for single-valued and multi-valued function on $ \Theta $ which is not necessarily continuous. The contractive condition is motivated by an idea proposed in Ćirić's paper "On some maps with a nonunique fixed points". Continuity of mapping $ \kappa $ is replaced by $ \kappa- $orbitally continuity property which provides the existence of the fixed point, but not necessarily uniqueness.
Databáze: OpenAIRE