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We develop new a common fixed-point theorem for nonlinear rational contraction mappings on partial metric spaces, as defined by Matthews. Partial metric Spaces allow nonzero self-distances, providing a flexible framework for fixed-point Analysis. The main result is established under rational-type contractive conditions. We present three further examples. The main result extends classical contraction Principles and highlights the significance of common fixed points in generalized metric structures.
"Common Fixed Point Theorems for Nonlinear Rational Contraction on Partial Metric Spaces", International Journal for Research Trends and Innovation (www.ijrti.org), ISSN:2455-2631, Vol.10, Issue 11, page no.a586-a591, November-2025, Available :http://www.ijrti.org/papers/IJRTI2511070.pdf
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2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator