Document Type : Original Article
University of the Gambia, Brikama Campus, Gambia
Department of Mathematics &amp; 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.