Computation of solution of integral equations via fixed point results

Abstract

The motive of this article is to study a modified iteration scheme for monotone nonexpansive mappings in the class of uniformly convex Banach space and establish some convergence results. We obtain weak and strong convergence results. In addition, we present a nontrivial numerical example to show the convergence of our iteration scheme. To demonstrate the utility of our scheme, we discuss the solution of nonlinear integral equations as an application, which is again supported by a nontrivial example.

Keywords

• monotone nonexpansive mappings
• fixed point
• iteration process
• strong and weak convergence
• nonlinear integral equation
• 47h09
• 47h10