Due to computer aided numerical analysis, approximating fixed point and convergence of iterative sequence have achieved importance. The study of random fixed points has been an active area of contemporary research in mathematics. Due to frequent confrontation with problems (equations) which are of non-linear and stochastic nature like, stochastic vibrations of beams and columns, noise study in electrical electronics engineering, system dynamics, water resource management, stochastic diffusion equation etc., random sequences and their convergence in numerical algorithms, image processing are...