Study Of Fixed-Point Results In G-Metric Space And G- Cone Metric Space and Its Application

This study investigates fixed point methods in Gmetric space and G-cone metric space, focusing on theoretical developments and practical applications. Through a comprehensive review of existing literature and the formulation of a novel method, we advance the state-of-the-art in fixed point theory. The proposed method demonstrates superior performance across key evaluation parameters, including convergence rate, accuracy, stability, and efficiency. Through rigorous theoretical analysis and empirical evaluation, we validate the efficacy of the method in solving fixed point problems in various domains. Furthermore, an ablation study provides insights into the method’s underlying mechanisms and key components, guiding further optimization and refinement. The proposed method offers robustness and sensitivity analysis capabilities, ensuring reliable performance in the face of uncertainties and variations. Overall, this study contributes to advancing the understanding and practical application of fixed point methods, with implications for optimization, numerical analysis, and dynamical systems. The proposed method holds promise for addressing complex problems in diverse fields, paving the way for future research and innovation in fixed point theory and its applications.