INERTIAL MANN-KRASNOSELSKII ALGORITHM WITH SELF ADAPTIVE STEPSIZE FOR SPLIT VARIATIONAL INCLUSION PROBLEM AND PARAMONOTONE EQUILIBRIA

In this paper, we introduce a Mann-Krasnoselskii algorithm of inertial form for approximating common solution Spit Variational Inclusion Problem (SVIP) and Equilibrium (EP) with paramonotone bifunction in real Hilbert spaces. Motivated by the self-adaptive technique, incorporate technique to accelerate convergence proposed method. Under standard mild assumptions such as monotonicity lower semicontinuity SVIP EP associated mappings, establish strong iterative algorithm. Some applications numerical experiments are presented illustrate performance behaviour our method well comparing it some related methods literature. Our results improve generalize many existing direction.