A Strong Convergence Theorem for Split Null Point Problem and Generalized Mixed Equilibrium Problem in Real Hilbert Spaces

In this paper, we study a schematic approximation of solutions split null point problem for finite family maximal monotone operators in real Hilbert spaces. We propose an iterative algorithm that does not depend on the operator norm which solves and also generalized mixed equilibrium problem. prove strong convergence proposed to common solution two problems. display some numerical examples illustrate our method. Our result improves existing results literature.