主题词：Fixed Point Theorems Analysis; Optimization and Variational Analysis; Nonlinear Differential Equations Analysis; Advanced Optimization Algorithms Research; Fractional Differential Equations Solutions; Contact Mechanics and Variational Inequalities; Advanced Differential Geometry Research; Numerical methods in inverse problems; Sparse and Compressive Sensing Techniques; Fuzzy Systems and Optimization; Mechanical stress and fatigue analysis; Numerical methods in engineering; Fuzzy and Soft Set Theory; Differential Equations and Numerical Methods; Advanced Numerical Methods in Computational Mathematics; Mathematical and Theoretical Epidemiology and Ecology Models; Mathematical Dynamics and Fractals; Stability and Controllability of Differential Equations; Elasticity and Material Modeling; Numerical methods for differential equations; Aerospace Engineering and Energy Systems; Stochastic Gradient Optimization Techniques; Numerical Methods and Algorithms; Advanced Mathematical Modeling in Engineering; Nonlinear Partial Differential Equations