Approximation theorems of a solution of amperometric enzymatic reactions based on Green’s fixed point normal-S iteration

Abstract

In this paper, the authors present a strategy based on fixed point iterative methods to solve a nonlinear dynamical problem in a form of Green’s function with boundary value problems. First, the authors construct the sequence named Green’s normal-S iteration to show that the sequence converges strongly to a fixed point, this sequence was constructed based on the kinetics of the amperometric enzyme problem. Finally, the authors show numerical examples to analyze the solution of that problem.

Existence of solutions for fixed point theorem

“…Hence, establish sufficient conditions for at least onemild solution to the coupled system of fractional hybrid pantograph differentialequations (FHPDEs) by using Burton and couple-type fixed-point theorems. Here also provide examples to show the applicability of results.KhanitinMuangchoo-in et al,[42] have presented a strategy based on fixed point iterative methods tosolve a nonlinear dynamical problem in a form of Green's function with boundaryvalue problems. First, the authors construct the sequence named Green's normal-Siteration to show that the sequence converges strongly to a fixed point, this sequencewas constructed based on the kinetics of the amperometric enzyme problem.Finally,the authors show numerical examples to analyze the solution of that problem.Lucas Wangweet al,[43] have presented a common fixed-point theorem for F-Kannan mappings in metric spaces with an application tointegral equations.…”