Viscosity like implicit methods for zeros of monotone operators in Banach spaces

Document Type : Original Article


1 University of the Gambia, Brikama Campus, Gambia

2 Department of Mathematics & Applied Mathematics, University of Johannesburg, Kingsway Campus, Auckland Park 2006, South Africa



In this paper, we present some implicit methods to approximate the zeros of monotone operators in the setting of Banach spaces. The methods considered herein converge strongly to the desired solutions under certain assumptions. As applications, we employ our methods to obtain solutions of convex minimization problems and Fredholm integral equations. Finally, we show the effectiveness and efficiency of the algorithm considered herein.