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@article{205980,
        author = {Ramprakash Saket and Kuldeep Dwivedi and Dr. D. K. Singh},
        title = {“Common Fixed Point Theorems for Rational Contractions in Banach Spaces’’},
        journal = {International Journal of Innovative Research in Technology},
        year = {2026},
        volume = {13},
        number = {1},
        pages = {8820-8823},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=205980},
        abstract = {This paper develops new common fixed-point theorems for rational contractions in Banach spaces. Rational contractions, defined via nonlinear rational inequalities, extend the classical Banach contraction principle and provide a richer framework for fixed point analysis. We establish the existence and uniqueness of common fixed points for pairs of commuting rational contractions, and further extend these results to measurable multifunction through the Kuratowski–Ryll-Nardzewski measurable selection theorem. Our approach unifies and generalizes earlier fixed-point results, offering a novel perspective on rational contraction mappings. Applications to iterative algorithms, equilibrium problems, control theory, and differential inclusions demonstrate the theoretical and practical relevance of the results.},
        keywords = {Banach space, rational contraction, common fixed point, measurable multifunction, equilibrium problems.},
        month = {June},
        }