SOLVING A VARIATIONAL INCLUSION PROBLEM WITH ITS CORRESPONDING RESOLVENT EQUATION PROBLEM INVOLVING XOR-OPERATION

Abstract

In this paper, we consider a variational inclusion problem involving XOR- operation with its resolvent equation problem involving XOR-operation. We suggest separate iterative algorithms for solving both the problems. The existence and convergence results are proved for variational inclusion problem and for corresponding resolvent equation problem in ordered Hilbert spaces. We claim that results of this paper are new and refinement of previously known results.