主题词：Fixed Point Theorems Analysis; Nonlinear Differential Equations Analysis; Optimization and Variational Analysis; Nonlinear Partial Differential Equations; Advanced Mathematical Modeling in Engineering; Geometric and Algebraic Topology; Homotopy and Cohomology in Algebraic Topology; Geometric Analysis and Curvature Flows; Mathematical Dynamics and Fractals; Advanced Optimization Algorithms Research; Advanced Mathematical Physics Problems; Stability and Controllability of Differential Equations; Functional Equations Stability Results; Differential Equations and Boundary Problems; Differential Equations and Numerical Methods; Fractional Differential Equations Solutions; Advanced Differential Equations and Dynamical Systems; Geometry and complex manifolds; Advanced Differential Geometry Research; Contact Mechanics and Variational Inequalities; Advanced Topics in Algebra; Quantum chaos and dynamical systems; Spectral Theory in Mathematical Physics; Numerical methods in inverse problems; Algebraic Geometry and Number Theory