loading page

On fixed point and its application to the spread of infectious diseases model in Mvb- metric space
  • Khairul Habib Alam,
  • Yumnam Rohen,
  • Anita Tomar
Khairul Habib Alam
National Institute of Technology Manipur

Corresponding Author:[email protected]

Author Profile
Yumnam Rohen
Manipur University
Author Profile
Anita Tomar
Sridev Suman Uttarakhand University
Author Profile


This work aims to prove new results in an M v b - metric space for a noncontinuous single-valued self-map. As a result, we extend, generalize, and unify various fixed-point conclusions for a single-valued map and come up with examples to exhibit the theoretical conclusions. Further, we solve a mathematical model of the spread of specific infectious diseases as an application of one of the conclusions. In the sequel, we explain the significance of M v b - metric space because the underlying map is not necessarily continuous even at a fixed point in M v b - metric space thereby adding a new answer to the question concerning to continuity at a fixed point posed by Rhoades'. Consequently, we may conclude that the results via M v b - metric are very inspiring, and underlying contraction via M v b - metric does not compel the single-valued self-map to be continuous even at the fixed point. Our research is greatly inspired by the exciting possibilities of using noncontinuous maps to solve real-world nonlinear problems.
27 Jun 2023Submitted to Mathematical Methods in the Applied Sciences
27 Jun 2023Submission Checks Completed
27 Jun 2023Assigned to Editor
05 Jul 2023Review(s) Completed, Editorial Evaluation Pending
05 Aug 2023Reviewer(s) Assigned
06 Oct 2023Editorial Decision: Revise Major
07 Oct 20231st Revision Received
09 Oct 2023Submission Checks Completed
09 Oct 2023Assigned to Editor
09 Oct 2023Review(s) Completed, Editorial Evaluation Pending
27 Oct 2023Reviewer(s) Assigned