主题词：Fixed Point Theorems Analysis; Functional Equations Stability Results; Advanced Topics in Algebra; Geometric Analysis and Curvature Flows; Nonlinear Differential Equations Analysis; Geometry and complex manifolds; Fuzzy and Soft Set Theory; Advanced Differential Geometry Research; Mathematics and Applications; Differential Equations and Numerical Methods; Holomorphic and Operator Theory; Advanced Algebra and Logic; Stochastic processes and financial applications; Algebraic Geometry and Number Theory; Optimization and Variational Analysis; Nonlinear Partial Differential Equations; Algebraic structures and combinatorial models; Rings, Modules, and Algebras; Algebraic and Geometric Analysis; Advanced Differential Equations and Dynamical Systems; Iterative Methods for Nonlinear Equations; Mathematical and Theoretical Analysis; Geometric and Algebraic Topology; Advanced Topology and Set Theory; Risk and Portfolio Optimization