C*-Algebra Valued Modular G-Metric Spaces with Applications in Fixed Point Theory
| Autor: | Arvind Dhaka, Dipankar Das, Francisco Eneldo López Monteagudo, Tania A. Ramirez-delReal, Vishnu Narayan Mishra, Hamurabi Gamboa Rosales, Edgar González Fernández, Lakshmi Narayan Mishra |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics and Astronomy (miscellaneous)
C*-avGMS General Mathematics Stability (learning theory) MathematicsofComputing_GENERAL Fixed-point theorem Fixed point Type (model theory) Ulam–Hyers stability Computer Science::Digital Libraries C*-avb-MS Computer Science (miscellaneous) QA1-939 Uniqueness Mathematics mGMS C*-class function business.industry C*-avMS Function (mathematics) Modular design Algebra Metric space TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES Chemistry (miscellaneous) Computer Science::Programming Languages business |
| Zdroj: | Symmetry, Vol 13, Iss 2003, p 2003 (2021) Symmetry Volume 13 Issue 11 |
| ISSN: | 2073-8994 |
| 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: | OpenAIRE |
| Externí odkaz: |
|