Fixed point theorem and iterated function system in φ-metric modular space

Abstract We introduce and study the concept of φ-metric modular space and, then define φ-α-Meir-Keeler contraction on it and explore its fixed point. Further, we define the Hausdorff distance between two non-empty compact subsets of the considered space. Some topological properties of φ-metric modul...

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Bibliographic Details
Main Authors: Bikramjit Acharjee, Guru Prem Prasad M
Format: Article
Language:English
Published: SpringerOpen 2024-03-01
Series:Fixed Point Theory and Algorithms for Sciences and Engineering
Subjects:
Online Access:https://doi.org/10.1186/s13663-024-00761-6