Depending on the needs and requirements of keeping up with the scientific procession, researchers tend to find new recurrence schemes or develop previous recurrence schemes that will help researchers reach the fixed point and solution of varaitional inequality .The objective of this article is to provide novel approaches to finding a common fixed points of different types of important mappings and the set of zeros of maximal monotone operators .Also, we studied the convergence weakly and convergence strongly of the proposed iterative method under some suitable conditions. To achieve this goal, we will introduce a new technical methods of resolvent operators and metric projection using different types of function sequences, including: sequence of maximal monotone operators, sequence of -strictly pseudo-contractive mappings and sequence of nonexpansive mappings defined on nonempty convex-closed subset of Hilbert space
A New Iterative Algorithms For Finite Family of Resolvent Operators
Nonexpansive Mapping
Metric Projection
Strictly Pseudo Contraction Mapping
Strongly Pseudo-Contractive
Fixed Point