Research Highlights

My research focuses on modern developments in fixed point theory, generalized metric structures, iterative algorithms, and applied optimization to address complex problems that involve uncertainty and nonlinear behavior. I have been particularly interested in developing new contraction conditions for the existence of fixed points and creating more efficient iterative schemes to analyze their convergence and stability in modern mathematical metric structures. I apply these theoretical results to a range of nonlinear systems, including fractional and differential equations, dynamical models, neural network activation processes, chemical systems, and even the computer-generated Julia and Mandelbrot fractals. More recently, I have expanded this direction toward practical decision-making under uncertainty by developing optimization models for sustainable inventory and supply chain management. These models incorporate realistic features such as deterioration, green investment, stock-dependent demand, and profit-cost efficiency, and are supported by simulations and real data validation. Altogether, my work strengthens the interface between nonlinear analysis, numerical approximation, fractal geometry, and applied mathematical modeling.