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