C*-Algebra Valued Modular G-Metric Spaces with Applications in Fixed Point Theory

Autor:	Dipankar Das, Lakshmi Narayan Mishra, Vishnu Narayan Mishra, Hamurabi Gamboa Rosales, Arvind Dhaka, Francisco Eneldo López Monteagudo, Edgar González Fernández, Tania A. Ramirez-delReal
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	C*-class function mGMS C*-avMS C*-avb-MS C*-avGMS Ulam–Hyers stability Mathematics QA1-939
Zdroj:	Symmetry, Vol 13, Iss 11, p 2003 (2021)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym13112003
Popis:	This article introduces a new type of C*-algebra valued modular G-metric spaces that is more general than both C*-algebra valued modular metric spaces and modular G-metric spaces. Some properties are also discussed with examples. A few common fixed point results in C*-algebra valued modular G-metric spaces are discussed using the “C*-class function”, along with some suitable examples to validate the results. Ulam–Hyers stability is used to check the stability of some fixed point results. As applications, the existence and uniqueness of solutions for a particular problem in dynamical programming and a system of nonlinear integral equations are provided.
Databáze:	Directory of Open Access Journals
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