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We introduce an iterative algorithm for split equality fixed point and null point problem for Lipschitzian quasi-pseudocontractive
mappings and maximal monotone operators which includes split equality feasibility problem, split equality fixed problem, split equality null point
problem and other problem related to fixed point problems. Moreover, we establish a strong convergence results in real Hilbert spaces under
some suitable conditions and reduce our main result to above-mentioned problems. Finally, we apply the study to split equality feasibility problem (SEFP), split equality equilibrium problem (SEEP), split equality variational inequality problem (SEVIP) and split equality optimization problem (SEOP). The results presented in the paper extend and improve many recent results.