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April 17, 2026Asian Research Journal of MathematicsOpen Access

New Rational Contraction on b-Metric Spaces

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Authors

RDRajeshvari DhoteMUManoj UghadeSSS. S. Shrivastava

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Overview

Introduces a new contraction principle for fixed points in b-metric spaces, suggesting broader applications.

Key Points

  • The aim is to introduce a new rational contractive principle and explore its implications in b-metric spaces.
  • Developed a new rational contractive principle termed RMS-rational contraction.
  • Proved existence and uniqueness of fixed points under this principle.
  • Analyzed linear convergence of Picard iterations.
  • Established error bounds and a quantitative stability result.
  • Demonstrated linear convergence of iterations leading to fixed points.
  • Provided explicit a priori and a posteriori error bounds.
  • Confirmed that bounded forward orbits converge to unique points in their intersection.

Cite This Study

Dhote et al. (2026) studied this question.

synapsesocial.com/papers/69e1cd6f5cdc762e9d856e69https://doi.org/10.9734/arjom/2026/v22i41083
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Advances in Rational Contractions within Extended $b-$Metric Spaces and Their Applications2025
  2. 2Fixed Point Results for -Rational Contraction in Complete Metric Spaces2026
  3. 3Fixed Point Dynamics in a New Type of Contraction in b-Metric Spaces2024 · 9 citations
  4. 4Rational-type contractions and their applications in extended b-metric spaces2024 · 2 citations
  5. 5New Fixed Point Theorems on Complete <i>b</i>-Metric Space by Using Rus Contraction Mapping2024 · 3 citations