International Journal of Scientific Research and Engineering Development

This paper introduces an advanced framework for fixed-point theory within parametric spaces. By establishing a generalized parametric space contraction configuration, we extend several classical fixed-point results, including Banach and Kannan-type contractions, into a broader parametric setting. Utilizing appropriate completeness assumptions and analytical techniques, a novel hybrid contraction model is formulated. This model integrates parametric distance functions with nonlinear control parameters to enhance the applicability of fixed-point methodologies in contemporary mathematical analysis. The results presented herein generalize and unify various established fixed-point theorems in the literature, thereby offering new directions for research in parametric fixed-point theory and its applications to applied mathematics

Deepali Chaturvedi, Garima Singh, Manju Prabhakar, "Modern Fixed-Point Results in Generalized Parametric Space via Hybrid Contractive Conditions" International Journal of Scientific Research and Engineering Development, V9(4): Page(982-987) July-August 2026. ISSN: 2581-7175. www.ijsred.com. Published by Scientific and Academic Research Publishing.