Convergence Analysis of S-iteration Process of Generalized Nonlinear Variational Inclusion Problem

Abstract

To obtain the solution of generalized variational inclusion involving  co-coercive operators, a proposal for -iteration has also been proposed and analyzed. Existence theorems for the solution of generalized variational inclusion are proved by using co-coercive and relaxed co-coercive mappings. Also, certain particular cases, along with their comparison with some methods, have been studied. Finally, we present a numerical example to exemplify and show the convergence of the suggested algorithm in support of our main result, which has been formulated by using MATLAB programming.