Periodic and fixed points for mappings in extended b-gauge spaces equipped with a graph

Autor: Zikria Nosheen, Samreen Maria, Savas Ekrem, Sen Manuel De la, Kamran Tayyab
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Demonstratio Mathematica, Vol 57, Iss 1, Pp 133-181 (2024)
Druh dokumentu: article
ISSN: 2391-4661
DOI: 10.1515/dema-2024-0016
Popis: This article presents the notions of extended b-gauge space (U,Qφ;Ω)\left(U,{Q}_{\varphi ;\Omega }) and extended Jφ;Ω{{\mathcal{J}}}_{\varphi ;\Omega }-families of generalized extended pseudo-b-distances on UU. Furthermore, we look at these extended Jφ;Ω{{\mathcal{J}}}_{\varphi ;\Omega }-families on UU and define the extended Jφ;Ω{{\mathcal{J}}}_{\varphi ;\Omega }-sequential completeness. We also look into some fixed and periodic point theorems for set-valued mappings in the new space with a graph that does not meet the completeness condition of the space. Additionally, this article includes some examples to explain the corresponding results and highlights some important consequences of our obtained results.
Databáze: Directory of Open Access Journals