主题词：Optimization and Variational Analysis; Advanced Optimization Algorithms Research; Advanced Mathematical Modeling in Engineering; Numerical methods in inverse problems; Fixed Point Theorems Analysis; Advanced Numerical Methods in Computational Mathematics; Matrix Theory and Algorithms; Iterative Methods for Nonlinear Equations; Approximation Theory and Sequence Spaces; Nonlinear Differential Equations Analysis; Differential Equations and Numerical Methods; Stability and Controllability of Differential Equations; Contact Mechanics and Variational Inequalities; Mathematical Analysis and Transform Methods; Differential Equations and Boundary Problems; Numerical methods in engineering; Numerical methods for differential equations; Advanced Banach Space Theory; Fractional Differential Equations Solutions; Advanced Numerical Analysis Techniques; Image and Signal Denoising Methods; Mathematical Approximation and Integration; Diverse Scientific and Economic Studies; Human auditory perception and evaluation; Nonlinear Partial Differential Equations